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arXiv · 2006.12985

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

Eduard Navas·Ebner Pineda·Wilfredo Urbina
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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.

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Eduard Navas, Ebner Pineda, Wilfredo Urbina. 2020-06-20. The Boundedness of General Alternative Gaussian Singular Integrals on variable Lebesgue spaces with Gaussian measure. https://arxiv.org/abs/2006.12985

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