On a dual property of the maximal operator on weighted variable Lp spaces

Andrei K. Lerner

doi:10.1090/conm/693/13932

On a dual property of the maximal operator on weighted variable L^p spaces

Andrei K. Lerner

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

7 Scopus citations

Abstract

L. Diening [5] obtained the following dual property of the maximal operator M on variable Lebesque spaces L^p(·): if M is bounded on L^p(·), then M is bounded on L^p'(·). We extend this result to weighted variable Lebesque spaces.

Original language	English
Title of host publication	Contemporary Mathematics
Publisher	American Mathematical Society
Pages	283-300
Number of pages	18
DOIs	https://doi.org/10.1090/conm/693/13932
State	Published - 2017

Publication series

Name	Contemporary Mathematics
Volume	693
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Bibliographical note

Publisher Copyright:
© 2017 American Mathematical Society.

Funding

2010 Mathematics Subject Classification. 42B20, 42B25, 42B35. Key words and phrases. Maximal operator, variable Lebesgue spaces, weights. This research was supported by the Israel Science Foundation (grant No. 953/13).

Funders	Funder number
Israel Science Foundation	953/13

Keywords

Maximal operator
Variable Lebesgue spaces
Weights

Access to Document

10.1090/conm/693/13932

Cite this

@inbook{3df4751eb6f542bca106cba0fd1ad6fb,

title = "On a dual property of the maximal operator on weighted variable Lp spaces",

abstract = "L. Diening [5] obtained the following dual property of the maximal operator M on variable Lebesque spaces Lp(·): if M is bounded on Lp(·), then M is bounded on Lp'(·). We extend this result to weighted variable Lebesque spaces.",

keywords = "Maximal operator, Variable Lebesgue spaces, Weights",

author = "Lerner, \{Andrei K.\}",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

doi = "10.1090/conm/693/13932",

language = "אנגלית",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "283--300",

booktitle = "Contemporary Mathematics",

address = "ארצות הברית",

}

TY - CHAP

T1 - On a dual property of the maximal operator on weighted variable Lp spaces

AU - Lerner, Andrei K.

PY - 2017

Y1 - 2017

N2 - L. Diening [5] obtained the following dual property of the maximal operator M on variable Lebesque spaces Lp(·): if M is bounded on Lp(·), then M is bounded on Lp'(·). We extend this result to weighted variable Lebesque spaces.

AB - L. Diening [5] obtained the following dual property of the maximal operator M on variable Lebesque spaces Lp(·): if M is bounded on Lp(·), then M is bounded on Lp'(·). We extend this result to weighted variable Lebesque spaces.

KW - Maximal operator

KW - Variable Lebesgue spaces

KW - Weights

UR - https://www.scopus.com/pages/publications/85029571585

U2 - 10.1090/conm/693/13932

DO - 10.1090/conm/693/13932

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85029571585

T3 - Contemporary Mathematics

SP - 283

EP - 300

BT - Contemporary Mathematics

PB - American Mathematical Society

ER -