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2006•Ha'erbin gongye daxue xuebaoRequires access

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

Jian Wang

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Hardy space, Sobolev space, Mathematics, Maximal function, Bounded function, Pure mathematics, Mathematical analysis, Space (punctuation)

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