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

Classical Analysis and ODEs 2021-03-23 v3

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 Lp(γd)L^p(\gamma_d), 1<p<. 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()p(\cdot) following a paper by E. Dalmasso and R. Scotto.

Keywords

Cite

@article{arxiv.2006.12985,
  title  = {The Boundedness of General Alternative Gaussian Singular Integrals on variable Lebesgue spaces with Gaussian measure},
  author = {Eduard Navas and Ebner Pineda and Wilfredo Urbina},
  journal= {arXiv preprint arXiv:2006.12985},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1911.06375