2007•Journal of Qingdao UniversityRequires access

Weighted Estimates for Oscillatory Singular Integrals with μ-Calderón-Zygmund Kernel

Wang Lei

Abstract

Ricci and Stein showed that some oscillatory singular integral operators are bounded on Lp(Rn)(1p∞).The boundedness of some generalized oscillatory singular integral operators with μ-Calderon-Zygmund kernel was obtained.By the properties of weight functions,we get the Lp(Rn)(1p∞) boundedness of the oscillatory singular integral operators with μ-Calderon-Zygmund kernel.

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Key concepts: Singular integral operators, Mathematics, Singular integral, Kernel (algebra), Bounded function, Mathematical analysis, Pure mathematics, Integral equation