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arXiv:2006.12985 [math.CA]AbstractReferencesReviewsResources

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

Eduard Nava, Ebner Pineda, Wilfredo Urbina

Published 2020-06-20Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1911.06375
Categories: math.CA
Subjects: 42B25, 42B35, 46E30, 47G10
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