Endpoint Estimates for Generalized Commutators of Hardy Operators on H1 Space
We study the H1-boundedness of the generalized commutators of Hardy operator with a homogeneous kernel as follows: ℋΩ,A,βmf(x)=(1/|x|n-β)∫|y|<|x|(Ω(x-y)/|x-y|m-1)Rm(A;x,y)f(y)dy, where Rm(A;x,y)=A(x)-∑|α|<m(1/α!)DαA(y)(x-y)α with m∈Z+, 0≤β<n and Ω∈Lip1(Sn-1). We prove that, when m≥1, ℋΩ,A...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/410305 |