On the weak (1,1) boundedness of a class of oscillatory singular integrals

• Autorzy: Yibiao Pan
• Języki publikacji: EN

Abstrakty

EN

We prove the uniform weak (1,1) boundedness of a class of oscillatory singular integrals under certain conditions on the phase functions. Our conditions allow the phase function to be completely flat. Examples of such phase functions include $ϕ(x) = e^{-1/x^2}$ and $ϕ(x) = xe^{-1/|x|}$. Some related counterexample is also discussed.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 106
• Numer: 3
• Strony: 279-287

Daty

wydano

1993

otrzymano

1993-02-18

Twórcy

autor

Yibiao Pan

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

Bibliografia

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