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

2019/12/16 by Eduard Nava, Nava, Eduard, Ebner Pineda +3
Mathematics · #42B35 #47G10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 42B25 #Secondary 46E30 #math.CA #msc:42B25 #msc:42B35 #msc:46E30 #msc:47G10

paper · pdf · doi:10.48550/arxiv.1912.07752

arxiv created 2020/06/20 · arxiv updated 2020/06/23

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. Pérez and H. Aimar, L. Forzani and R. Scotto respectively.

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