Research output per year
Research output per year
- 1 - 50 out of 68 results
Search results
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2024
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions
Shargorodsky, E., Berger, D., Schilling, R. L. & Sharia, T., 13 Jun 2024, In: Journal of Spectral Theory. 14, 2, p. 665-695 31 p.Research output: Contribution to journal › Article › peer-review
Open Access -
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions
Berger, D., Schilling, R. L., Shargorodsky, E. & Sharia, T., 23 Jan 2024, arXiv, 25 p.Research output: Working paper/Preprint › Preprint
File42 Downloads (Pure) -
A remark on piecewise linear interpolation of continuous Fourier multipliers
Shargorodsky, E. & Karlovych, O., 21 Aug 2024, Tbilisi Analysis and PDE Seminar, TAPDES 2023. Duduchava, R., Shargorodsky, E. & Tephnadze, G. (eds.). Birkhäuser Cham, p. 99-107 9 p. (Trends in Mathematics; vol. 7).Research output: Chapter in Book/Report/Conference proceeding › Chapter
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A remark on Toeplitz and Laurent operators acting on $\ell^p$ spaces with power weights
Shargorodsky, E. & Karlovych, O., 19 Jun 2024, In: LINEAR ALGEBRA AND ITS APPLICATIONS. 697, p. 82-92 11 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile40 Downloads (Pure) -
Asymptotic analysis of fundamental solutions of hypoelliptic operators
Shargorodsky, E. & Chkadua, G., 1 Apr 2024, In: Georgian Mathematical Journal. 31, 2, p. 205-228 24 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems
Shargorodsky, E. & Karlovych, O., 5 Jan 2024, In: Indagationes Mathematicae. 35, 1, p. 143-158 16 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (Scopus) -
Discrete Riesz transforms on rearrangement-invariant Banach sequence spaces and maximally noncompact operators
Shargorodsky, E. & Karlovych, O., 7 Mar 2024, In: Pure and Applied Functional Analysis. 9, 1, p. 195-210Research output: Contribution to journal › Article › peer-review
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On Dilations of Fourier Multipliers on Weighted Lebesgue Spaces
Shargorodsky, E. & Karlovych, O., 23 Jul 2024, Analysis without Borders: Advances and Applications. Rogosin, S. (ed.). Birkhäuser Cham, p. 109-122 14 p. (Operator Theory: Advances and Applications).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces
Shargorodsky, E. & Karlovych, O., 8 Nov 2024, In: Boletín de la Sociedad Matemática Mexicana. 31, 9 p., 8 (2025).Research output: Contribution to journal › Article › peer-review
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On the full range of Zippin and inclusion indices of rearrangement-invariant spaces
Shargorodsky, E., Curbera, G. P. & Karlovych, O., 17 Apr 2024, In: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 118, 3, 17 p., 93.Research output: Contribution to journal › Article › peer-review
Open Access -
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Berger, D., Schilling, R. L. & Shargorodsky, E., 5 Jul 2024, In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 56, 7, p. 2374-2394 21 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
2023
Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded"
Shargorodsky, E., Diening, L. & Karlovych, O., 28 Mar 2023, In: Georgian Mathematical Journal. 30, 2, p. 211-212 2 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile22 Downloads (Pure) -
Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems
Karlovych, O. & Shargorodsky, E., 8 Aug 2023, arXiv, 22 p.Research output: Working paper/Preprint › Preprint
File45 Downloads (Pure) -
On the interpolation constants for variable Lebesgue spaces
Karlovych, O. & Shargorodsky, E., 7 Jul 2023, In: Mathematische Nachrichten. 296, 7, p. 2877-2902 26 p.Research output: Contribution to journal › Article › peer-review
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On the weak convergence of shift operators to zero on rearrangement-invariant spaces
Shargorodsky, E. & Karlovich, A., 27 Feb 2023, In: Revista Matemática Complutense. 36, 1, p. 91–124 34 p.Research output: Contribution to journal › Article › peer-review
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Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces
Karlovych, O. & Shargorodsky, E., 28 Feb 2023, (E-pub ahead of print) In: Real Analysis Exchange . 48, 1, p. 139-148 10 p.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Sharp estimates for conditionally centered moments and for compact operators on LP spaces
Shargorodsky, E. & Sharia, T., Jan 2023, In: Mathematische Nachrichten. 296, 1, p. 368-381 14 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
Sharp estimates for conditionally centred moments and for compact operators on $L^p$ spaces
Shargorodsky, E. & Sharia, T., 29 Jan 2023, In: Mathematische Nachrichten. 296, 1, p. 368-381 14 p.Research output: Contribution to journal › Article › peer-review
3 Downloads (Pure) -
The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces
Karlovych, O. & Shargorodsky, E., Mar 2023, In: INTEGRAL EQUATIONS AND OPERATOR THEORY. 95, 1, 6.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)57 Downloads (Pure) -
Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces
Shargorodsky, E. & Karlovich, A., 2 Jan 2023, Toeplitz Operators and Random Matrices: In Memory of Harold Widom. Basor, E., Böttcher, A., Ehrhardt, T. & Tracy, C. (eds.). Birkhaeuser Publishing Ltd, p. 463-476 14 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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When are the norms of the Riesz projection and the backward shift operator equal to one?
Shargorodsky, E. & Karlovych, O., 15 Dec 2023, In: JOURNAL OF FUNCTIONAL ANALYSIS. 285, 12, 29 p., 110158.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)79 Downloads (Pure) -
2022
A lower estimate for weak-type Fourier multipliers
Karlovich, A. & Shargorodsky, E., 4 Mar 2022, In: Complex Variables and Elliptic Equations. 67, 3, p. 642-660 19 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On an analogue of a theorem by Astala and Tylli
Shargorodsky, E. & Karlovich, A., 1 Jan 2022, In: ARCHIV DER MATHEMATIK. 118, 1, p. 73-77 5 p., DOI: 10.1007/s00013-021-01679-w.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded
Shargorodsky, E., Diening, L. & Karlovich, A., 11 Jun 2022, In: Georgian Mathematical Journal. 29, 3, p. 347-352 6 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)60 Downloads (Pure) -
On the essential norms of singular integral operators with constant coeffcients and of the backward shift
Shargorodsky, E. & Karlovich, A., 22 Mar 2022, In: Proceedings of the American Mathematical Society. Ser. B 9 , p. 60-70Research output: Contribution to journal › Article › peer-review
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On the essential norms of singular integral operators with constant coefficients and of the backward shift
Karlovych, O. & Shargorodsky, E., 22 Mar 2022, In: Proceedings of the American Mathematical Society, Series B. 9, p. 60-70 11 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Citations (Scopus)56 Downloads (Pure) -
Toeplitz Operators with Non-trivial Kernels and Non-dense Ranges on Weak Hardy Spaces
Karlovych, O. & Shargorodsky, E., 2022, Operator Theory: Advances and Applications. Springer Science and Business Media Deutschland GmbH, p. 463-476 14 p. (Operator Theory: Advances and Applications; vol. 289).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
1 Citation (Scopus) -
2021
Algebras of Convolution Type Operators with Continuous Data do Not Always Contain All Rank One Operators
Karlovich, A. & Shargorodsky, E., Apr 2021, In: INTEGRAL EQUATIONS AND OPERATOR THEORY. 93, 2, p. 1-24 24 p., 16.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)36 Downloads (Pure) -
An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices
Shargorodsky, E. & Karlovich, A., 16 Nov 2021, In: CZECHOSLOVAK MATHEMATICAL JOURNAL. 71, 4, p. 1199-1209 11 p.Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus) -
Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case
Rozenblum, G. V. & Shargorodsky, E. M., Apr 2021, In: Functional Analysis and its Applications. 55, 2, p. 170-173 4 p.Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus) -
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Shargorodsky, E. & Rozenblum, G., Jun 2021, Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. European Mathematical Society, p. 331-354Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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Multiplication Is An Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation
Shargorodsky, E., Canarias, T. & Karlovich, A., 14 Oct 2021, In: Real Analysis Exchange . 46, 1, p. 121-148Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
On the essential norms of Toeplitz operators with continuous symbols
Shargorodsky, E., 15 Jan 2021, In: JOURNAL OF FUNCTIONAL ANALYSIS. 280, 2, 108835.Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Citations (Scopus)85 Downloads (Pure) -
2020
An estimate for narrow operators on Lp([0 , 1])
Shargorodsky, E. & Sharia, T., 5 Nov 2020, In: ARCHIV DER MATHEMATIK. 116, 3, p. 321-326Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Rozenblum, G. & Shargorodsky, E., 30 Nov 2020.Research output: Working paper/Preprint › Preprint
File58 Downloads (Pure) -
On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials
Karuhanga, M. & Shargorodsky, E., 20 May 2020, In: JOURNAL OF MATHEMATICAL PHYSICS. 61, 5, 43 p., 0004481.Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Citations (Scopus)36 Downloads (Pure) -
2019
Counting negative eigenvalues of one-dimensional Schrödinger operators with singular potentials
Shargorodsky, E. & Karuhanga, M., 23 May 2019, (Accepted/In press) In: Gulf Journal of Mathematics. 11 p.Research output: Contribution to journal › Article › peer-review
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Quantitative results on continuity of the spectral factorization mapping
Ephremidze, L., Shargorodsky, E. & Spitkovsky, I., 22 Jul 2019, (E-pub ahead of print) In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 101, 1, p. 60-81Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)104 Downloads (Pure) -
The Brown-Halmos Theorem for a Pair of Abstract Hardy Spaces
Karlovich, A. & Shargorodsky, E., Apr 2019, In: Journal of Mathematical Analysis and Applications. 472, 1, p. 246-265 20 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile9 Citations (Scopus)124 Downloads (Pure) -
When does the norm of a Fourier multiplier dominate its L∞ norm?
Karlovich, A. & Shargorodsky, E., Apr 2019, In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. 118, 4, p. 901-941 41 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile15 Citations (Scopus)184 Downloads (Pure) -
2018
More on the density of analytic polynomials in abstract Hardy spaces
Karlovich, A. & Shargorodsky, E., 2018, Operator Theory: Advances and Applications. Böttcher, A., Potts, D., Stollmann, P. & Wenzel, D. (eds.). Springer International Publishing, Vol. 268. p. 319-329 11 p. (Operator Theory: Advances and Applications; vol. 268).Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
2 Citations (Scopus) -
2016
Quantitative results on continuity of the spectral factorization mapping in the scalar case
Ephremidze, L., Shargorodsky, E. & Spitkovsky, I., Oct 2016, In: Boletín de la Sociedad Matemática Mexicana. 22, 2, p. 517-527 11 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)193 Downloads (Pure) -
2015
Extension of the unit normal vector field from a hypersurface
Duduchava, R., Shargorodsky, E. & Tephnadze, G., Sept 2015, In: Georgian Mathematical Journal. 22, 3, p. 355-359 5 p.Research output: Contribution to journal › Article › peer-review
7 Citations (Scopus) -
Level Sets of The Resolvent Norm of a Linear Operator Revisited
Davies, E. B. & Shargorodsky, E., 26 Jun 2015, In: MATHEMATIKA. 62, 1, p. 243- 265 23 p.Research output: Contribution to journal › Article › peer-review
6 Citations (Scopus) -
2014
On negative eigenvalues of two-dimensional Schrödinger operators
Shargorodsky, E., Feb 2014, In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. 108, 2, p. 441-483 43 p.Research output: Contribution to journal › Article › peer-review
28 Citations (Scopus) -
On the Amick-Fraenkel conjecture
Shargorodsky, E., Mar 2014, In: QUARTERLY JOURNAL OF MATHEMATICS. 65, 1, p. 267-278 12 p.Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus) -
2013
An estimate for the Morse index of a Stokes wave
Shargorodsky, E., Jul 2013, In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. 209, 1, p. 41-59 19 p.Research output: Contribution to journal › Article › peer-review
9 Citations (Scopus) -
Applications of Blaschke products to the spectral theory of Toeplitz operators
Grudsky, S. & Shargorodsky, E., 2013, Blaschke Products and Their Applications. Mashreghi, J. & Frician, E. (eds.). Springer, Vol. 65. p. 1-30 30 p. (Fields Institute Communications; vol. 65).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
2 Citations (Scopus) -
On the limit behaviour of second order relative spectra of self-adjoint operators
Shargorodsky, E., 1 Jan 2013, In: Journal of Spectral Theory. 3, 4, p. 535-552 18 p.Research output: Contribution to journal › Article › peer-review
7 Citations (Scopus) -
2010
On some open problems in spectral theory
Shargorodsky, E., 2010, Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008) . Levitin, M. & Vassiliev, D. (eds.). American Mathematical Society, p. 173 - 180 8 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter