Boundedness of certain oscillatory singular integrals

• Autorzy: Dashan Fan , Yibiao Pan
• Języki publikacji: EN

Abstrakty

EN

We prove the $L^p$ and $H^1$ boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where $Ω(x) = e^{iΦ(x)}K(x)$, K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.

Kategorie tematyczne

• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 114
• Numer: 2
• Strony: 105-116

Daty

wydano

1995

otrzymano

1993-08-31

Twórcy

autor

Dashan Fan

• epartment of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WIsconsin 53201, U.S.A.

autor

Yibiao Pan

• Department of Mathematical and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, U.S.A.

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