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H1 boundedness of oscillatory singular integrals with degenerate phase functions

Published online by Cambridge University Press:  24 October 2008

Yibiao Pan
Yibiao Pan
Affiliation:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh PA 15260, U.S.A.
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Abstract

In this paper we study the uniform boundedness of oscillatory singular integral operators with degenerate phase functions on the Hardy space H1. The H1 boundedness was previously known when the phase function is nondegenerate. Here we obtain a sufficient condition for H1 boundedness which allows the phase function vanishing to infinite order.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 2 , September 1994 , pp. 353 - 358
Copyright
Copyright © Cambridge Philosophical Society 1994

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