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Title

On certain nonstandard Calderón-Zygmund operators

Authors 1

Affiliations

  1. Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435, U.S.A.

Abstract

We formulate a version of the T1 theorem which enables us to treat singular integrals whose kernels need not satisfy the usual smoothness conditions. We also prove a weighted version. As an application of the general theory, we consider a class of multilinear singular integrals in ℝn related to the first Calderón commutator, but with a kernel which is far less regular.

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Studia Mathematica
1994/109/2
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Pages:
105-131
Main language of publication
English
Received
1992-01-25
Accepted
1993-08-17
Published
1994
Exact and natural sciences