Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded"

Eugene Shargorodsky; Lars Diening; Oleksiy Karlovych

doi:10.1515/gmj-2023-2002

Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded"

Eugene Shargorodsky, Lars Diening, Oleksiy Karlovych

Research output: Contribution to journal › Article › peer-review

22 Downloads (Pure)

Abstract

We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.

Original language	English
Pages (from-to)	211-212
Number of pages	2
Journal	Georgian Mathematical Journal
Volume	30
Issue number	2
Early online date	27 Jan 2023
DOIs	https://doi.org/10.1515/gmj-2023-2002
Publication status	Published - 28 Mar 2023

Keywords

Variable Lebesgue space
Hardy-Littlewood maximal operator

Access to Document

10.1515/gmj-2023-2002

On interpolation of reflexive_DIENING_2023_GREEN AAMAccepted author manuscript, 231 KBLicence: Unspecified

Cite this

@article{e4df65b2de5141668f6bb077bad3a8db,

title = "Addendum to {"}On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded{"}",

abstract = "We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.",

keywords = "Variable Lebesgue space, Hardy-Littlewood maximal operator",

author = "Eugene Shargorodsky and Lars Diening and Oleksiy Karlovych",

note = "Publisher Copyright: {\textcopyright} 2023 Walter de Gruyter GmbH, Berlin/Boston 2023.",

year = "2023",

month = mar,

day = "28",

doi = "10.1515/gmj-2023-2002",

language = "English",

volume = "30",

pages = "211--212",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "De Gruyter Open Ltd.",

number = "2",

}

TY - JOUR

T1 - Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded"

AU - Shargorodsky, Eugene

AU - Diening, Lars

AU - Karlovych, Oleksiy

PY - 2023/3/28

Y1 - 2023/3/28

N2 - We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.

AB - We show that the necessity part of the main result of [L. Diening, O. Karlovych and E. Shargorodsky, On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded, Georgian Math. J. 29 2022, 3, 347-352] can be derived easily from its predecessor [2, Theorem 4.1] and its sufficiency part.

KW - Variable Lebesgue space

KW - Hardy-Littlewood maximal operator

UR - http://www.scopus.com/inward/record.url?scp=85147228894&partnerID=8YFLogxK

U2 - 10.1515/gmj-2023-2002

DO - 10.1515/gmj-2023-2002

M3 - Article

SN - 1072-947X

VL - 30

SP - 211

EP - 212

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 2

ER -

Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded"

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded

Cite this