Article ID Journal Published Year Pages File Type
839876 Nonlinear Analysis: Theory, Methods & Applications 2014 17 Pages PDF
Abstract

The purpose of this paper is to establish some one-sided estimates for oscillatory singular integrals. The boundedness of certain oscillatory singular integrals on weighted Hardy spaces H+1(w) is proved. It is here also shown that the H+1(w) theory of oscillatory singular integrals above cannot be extended to the case of H+q(w) when 0

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