An intrinsic square function on weighted Herz spaces with variable exponent

Mitsuo Izuki; Takahiro Noi

doi:10.7153/jmi-2017-11-62

An intrinsic square function on weighted Herz spaces with variable exponent

Mitsuo Izuki, Takahiro Noi

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

15 Citations (Scopus)

Abstract

We define new generalized Herz spaces having weight and variable exponent, that is, weighted Herz spaces with variable exponent. We prove the boundedness of an intrinsic square function on those spaces under proper assumptions on each exponent and weight.

Original language	English
Pages (from-to)	799-816
Number of pages	18
Journal	Journal of Mathematical Inequalities
Volume	11
Issue number	3
DOIs	https://doi.org/10.7153/jmi-2017-11-62
Publication status	Published - 2017

Keywords

Herz spaces
Intrinsic square function
Muckenhoupt weight
Variable exponent

ASJC Scopus subject areas

Analysis

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10.7153/jmi-2017-11-62

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title = "An intrinsic square function on weighted Herz spaces with variable exponent",

abstract = "We define new generalized Herz spaces having weight and variable exponent, that is, weighted Herz spaces with variable exponent. We prove the boundedness of an intrinsic square function on those spaces under proper assumptions on each exponent and weight.",

keywords = "Herz spaces, Intrinsic square function, Muckenhoupt weight, Variable exponent",

author = "Mitsuo Izuki and Takahiro Noi",

note = "Funding Information: The second author was partially supported by Grand-in-Aid for Scientific Research (C), No. 16K05212, for Japan Society for the Promotion of Science. The authors are thankful to the referee whose valuable suggestion has improved the proof of the main theorem. Publisher Copyright: {\textcopyright} ELEMENT, Zagreb.",

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AU - Noi, Takahiro

N1 - Funding Information: The second author was partially supported by Grand-in-Aid for Scientific Research (C), No. 16K05212, for Japan Society for the Promotion of Science. The authors are thankful to the referee whose valuable suggestion has improved the proof of the main theorem. Publisher Copyright: © ELEMENT, Zagreb.

PY - 2017

Y1 - 2017

N2 - We define new generalized Herz spaces having weight and variable exponent, that is, weighted Herz spaces with variable exponent. We prove the boundedness of an intrinsic square function on those spaces under proper assumptions on each exponent and weight.

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KW - Herz spaces

KW - Intrinsic square function

KW - Muckenhoupt weight

KW - Variable exponent

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An intrinsic square function on weighted Herz spaces with variable exponent

Abstract

Keywords

ASJC Scopus subject areas

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