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

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 $L^p({\gamma }_d)$, $1<p<\infty .$ In this paper, we study the boundedness of those operators on Gaussian variable Lebesgue spaces under a certain additional condition of regularity on $p(\cdot )$ following a paper by E. Dalmasso and R. Scotto.

arXiv admin note: text overlap with arXiv:1911.06375