Kong Xiang-bo
Abstract
The commutator[b,TΩ,α]is formed by the homogeneous fractional integral operator TΩ,αwith a lipschitz function b.In this paper,we mainly study its boundedness on Herz-Hardy spaces and obtain that it is bounded from HK˙η,p q1 (Rn)toK˙η,p q2 (Rn).
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The commutator[b,TΩ,α]is formed by the homogeneous fractional integral operator TΩ,αwith a lipschitz function b.In this paper,we mainly study its boundedness on Herz-Hardy spaces and obtain that it is bounded from HK˙η,p q1 (Rn)toK˙η,p q2 (Rn).
Key concepts: Commutator, Mathematics, Lipschitz continuity, Homogeneous, Bounded function, Hardy space, Pure mathematics, Operator (biology)