Endpoint Estimates for Generalized Commutators of Fractional Hardy Operators on Herz-type Hardy Space
Wang Dinghuai
Abstract
Wang Dinghuai
Abstract
In this paper, we prove that the generalized commutator of fractional Hardy operator H m,A,β is not bounded from H ˙ K n(1� 1 q1 ),p q1 (R n )t o˙ K n(1� 1 q1 ),p q2 (R n ) unless H m,A,β ≡ 0.
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In this paper, we prove that the generalized commutator of fractional Hardy operator H m,A,β is not bounded from H ˙ K n(1� 1 q1 ),p q1 (R n )t o˙ K n(1� 1 q1 ),p q2 (R n ) unless H m,A,β ≡ 0.
Key concepts: Hardy space, Commutator, Mathematics, Bounded function, Type (biology), Operator (biology), Pure mathematics, Space (punctuation)