Cauchy integrals on Lipschitz curves and related operators
- 1 April 1977
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences of the United States of America
- Vol. 74 (4), 1324-1327
- https://doi.org/10.1073/pnas.74.4.1324
Abstract
In this note, we establish certain properties of the Cauchy integral on Lipschitz curves and prove the L(p)-boundedness of some related operators. In particular, we obtain the recent results of R. R. Coifman and Y. Meyer [(1976) "Commutateurs d'intégrales singulières:" Analyse harmonique d'Orsay n(o) 211, Université Paris XI] on the continuity of the so-called commutator operators.Keywords
This publication has 2 references indexed in Scilit:
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORSProceedings of the National Academy of Sciences of the United States of America, 1965
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONSProceedings of the National Academy of Sciences of the United States of America, 1962