Add to ORKGLet μ be a Borel measure on Rd which may be nondoubling. The only condition that μ must satisfy is μ(Q) ≤ c0l(Q)n for any cube Q ⊂ Rd with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤ d. This paper is to establish the weighted norm inequality for commutators of Calderón-Zygmund operators with RBMO(μ) functions by an estimate for a variant of the sharp maximal function in the context of the nonho-mogeneous spaces. Copyright © 2006 W. Chen and B. Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
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In recent years, it has been well understood that a Calderón-Zygmund operator T is pointwise contro...
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In this thesis we extend several classical results about Calderón-Zygmund operators to spaces of vec...
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