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arXiv:1111.4269 [math.CA]AbstractReferencesReviewsResources

Boundedness of singular integral operators with variable kernels on weighted weak Hardy spaces

Hua Wang

Published 2011-11-18, updated 2012-12-26Version 3

Let $T_\Omega$ be the singular integral operator with variable kernel $\Omega(x,z)$. In this paper, by using the atomic decomposition theory of weighted weak Hardy spaces, we will obtain the boundedness properties of $T_\Omega$ on these spaces, under some Dini type conditions imposed on the variable kernel $\Omega(x,z)$.

Comments: 12 pages. arXiv admin note: substantial text overlap with arXiv:1207.1242, arXiv:1111.5075, arXiv:1010.0862
Categories: math.CA
Subjects: 42B20, 42B30
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