Journal article
The Cauchy Integral, Calderon Commutators, and Conjugations of Singular Integrals in R n
Transactions of the American Mathematical Society, Vol.289(2), p.497
06/1985
DOI: 10.2307/2000250
Abstract
We consider the Cauchy integral and Hilbert transform for Lipschitz domains in the Clifford algebra based on Rn. The Hilbert transform is shown to be the generating function for the Calderón commutators in Rn. We make use of an intrinsic characterization of these commutators to obtain L2 estimates. These estimates are used to show the analyticity of the Hilbert transform and of th conjugation of singular integral operators by bi-Lipschitz changes of variable in Rn.
Details
- Title: Subtitle
- The Cauchy Integral, Calderon Commutators, and Conjugations of Singular Integrals in R n
- Creators
- Margaret A. M. Murray
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.289(2), p.497
- DOI
- 10.2307/2000250
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 06/1985
- Academic Unit
- Mathematics; Rhetoric
- Record Identifier
- 9984261443302771
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