Boundedness of Hardy-Littelwood maximal functions in Orlicz-Sobolev spaces

Feng Lin Yang; Yong Qiang Fu; Jian Wang

Boundedness of Hardy-Littelwood maximal functions in Orlicz-Sobolev spaces

Feng Lin Yang^*
, Yong Qiang Fu
, Jian Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

1 Scopus citations

Abstract

The paper obtains that the global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions are bounded in Orlicz-Sobolev space. These results generalize the corresponding results in Sobolev space for global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions, so a new theory is supplied on the regularity of Hardy-Littlewood maximal functions.

Original language	English
Pages (from-to)	85-87
Number of pages	3
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	38
Issue number	1
State	Published - Jan 2006

Keywords

Hardy-Littlewood maximal function
Orlicz space
Orlicz-Sobolev space

Cite this

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title = "Boundedness of Hardy-Littelwood maximal functions in Orlicz-Sobolev spaces",

abstract = "The paper obtains that the global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions are bounded in Orlicz-Sobolev space. These results generalize the corresponding results in Sobolev space for global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions, so a new theory is supplied on the regularity of Hardy-Littlewood maximal functions.",

keywords = "Hardy-Littlewood maximal function, Orlicz space, Orlicz-Sobolev space",

author = "Yang, \{Feng Lin\} and Fu, \{Yong Qiang\} and Jian Wang",

year = "2006",

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journal = "Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology",

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AU - Yang, Feng Lin

AU - Fu, Yong Qiang

AU - Wang, Jian

PY - 2006/1

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N2 - The paper obtains that the global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions are bounded in Orlicz-Sobolev space. These results generalize the corresponding results in Sobolev space for global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions, so a new theory is supplied on the regularity of Hardy-Littlewood maximal functions.

AB - The paper obtains that the global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions are bounded in Orlicz-Sobolev space. These results generalize the corresponding results in Sobolev space for global Hardy-Littlewood maximal functions and local Hardy-Littlewood maximal functions, so a new theory is supplied on the regularity of Hardy-Littlewood maximal functions.

KW - Hardy-Littlewood maximal function

KW - Orlicz space

KW - Orlicz-Sobolev space

UR - https://www.scopus.com/pages/publications/33645137427

M3 - 文章

AN - SCOPUS:33645137427

SN - 0367-6234

VL - 38

SP - 85

EP - 87

JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 1

ER -

Boundedness of Hardy-Littelwood maximal functions in Orlicz-Sobolev spaces

Abstract

Keywords

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