Norm estimates and representations for

Calderón-Zygmund operators using

averages over starlike sets

Authors:
David K. Watson and Richard L. Wheeden

Journal:
Trans. Amer. Math. Soc. **351** (1999), 4127-4171

MSC (1991):
Primary 42B20, 42B25

DOI:
https://doi.org/10.1090/S0002-9947-99-02313-2

Published electronically:
July 1, 1999

MathSciNet review:
1603994

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We show that homogeneous singular integrals may be represented in terms of averages over starlike sets. This permits us to use the geometry of starlike sets to derive operator-specific weighted norm inequalities.

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Additional Information

**David K. Watson**

Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101

Email:
watsondk@member.ams.org

**Richard L. Wheeden**

Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101

Email:
wheeden@math.rutgers.edu

DOI:
https://doi.org/10.1090/S0002-9947-99-02313-2

Received by editor(s):
December 30, 1996

Received by editor(s) in revised form:
December 15, 1997

Published electronically:
July 1, 1999

Additional Notes:
Supported in part by NSF Grant DMS95–00799

Article copyright:
© Copyright 1999
American Mathematical Society