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2012•Journal of Hebei Normal UniversityRequires access

Boundedness for Commutator of the Singular Integral Operator Satisfying a Variant H~Lrmander's Condition on the Hardy Space

Jie Sun

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Abstract

Let T be the singnlar integral,and be the commntator generated by T and a Lipschitz function.The commutator generated by the singular integral operator satisfying a variant HLrmander's condition with the Lipschitz function bounded from ■(Rn) to Ln/(n-β)(Rn) is showed.

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What this paper is about

Let T be the singnlar integral,and be the commntator generated by T and a Lipschitz function.The commutator generated by the singular integral operator satisfying a variant HLrmander's condition with the Lipschitz function bounded from ■(Rn) to Ln/(n-β)(Rn) is showed.

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Available abstract

Let T be the singnlar integral,and be the commntator generated by T and a Lipschitz function.The commutator generated by the singular integral operator satisfying a variant HLrmander's condition with the Lipschitz function bounded from ■(Rn) to Ln/(n-β)(Rn) is showed.

Key concepts: Commutator, Mathematics, Lipschitz continuity, Singular integral, Bounded function, Operator (biology), Hardy space, Pure mathematics

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Boundedness for Commutator of the Singular Integral Operator Satisfying a Variant H~Lrmander's Condition on the Hardy Space — Research Paper | ScholarLens