On certain rough maximal operators and singular integrals

Hussain Al-Qassem

Type: Article

Publication Date: 2007-01-01

Citations: 0

DOI: https://doi.org/10.55937/sut/1189443268

Abstract

We study the Lp mapping properties of a class of singular integral operators Tp,Ω,h related to polynomial mappings. We prove that this class of singular operators and some of its related maximal operators are bounded on Lp when the kernel function Ω in L(log L)α(Sn−1) for same α>0 and the radial function h(|x|) satisfia mild integrability condition.

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SUT Journal of Mathematics - View - PDF

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