The Boundedness of Alternative General Gaussian Singular Integrals with respect to the Gaussian measure

Abstract

In this paper we introduce a new class of Gaussian singular integrals, the general alternative Gaussian singular integrals and study the boundedness of them in Lp, p >1 and its weak (1,1) boundedness with respect to the Gaussian measure following the works of S. P\'erez and H. Aimar, L. Forzani and R. Scotto respectively.

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