ENDPOINT ESTIMATES FOR N-DIMENSIONAL HARDY OPERATORS AND THEIR COMMUTATORS
Fayou Zhao, Zunwei Fu, Shanzhen Lu
Abstract
Fayou Zhao, Zunwei Fu, Shanzhen Lu
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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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