The Boundedness of General Alternative Gaussian Singular Integrals on variable Lebesgue spaces with Gaussian measure

2020/06/20 by Navas, Eduard, Pineda, Ebner, Urbina, Wilfredo
#42B35 #47G10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 42B25 #Secondary 46E30

paper · doi:10.48550/arxiv.2006.12985

Abstract

In a previous paper, we introduced a new class of Gaussian singular integrals, that we called the general alternative Gaussian singular integrals and study the boundedness of them on L^p(γ_d), 1 < p < ∞. In this paper, we study the boundedness of those operators on Gaussian variable Lebesgue spaces under a certain additional condition of regularity on p(⋅) following a paper by E. Dalmasso and R. Scotto.

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