2016Unpublished venueRequires access

ENDPOINT ESTIMATES FOR N-DIMENSIONAL HARDY OPERATORS AND THEIR COMMUTATORS

Fayou Zhao, Zunwei Fu, Shanzhen Lu

Open publisher page 27 citations

Abstract

In this paper, it is proved that the higher dimensional Hardy operator is bounded from Hardy space to Lebesgue space. The endpoint estimate for the commutator generated by Hardy operator and (central) BMO function is also discussed.

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What this paper is about

In this paper, it is proved that the higher dimensional Hardy operator is bounded from Hardy space to Lebesgue space. The endpoint estimate for the commutator generated by Hardy operator and (central) BMO function is also discussed.

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OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, it is proved that the higher dimensional Hardy operator is bounded from Hardy space to Lebesgue space. The endpoint estimate for the commutator generated by Hardy operator and (central) BMO function is also discussed.

Key concepts: Hardy space, Commutator, Mathematics, Bounded function, Bounded mean oscillation, Operator (biology), Pure mathematics, Standard probability space

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