On Generalizations of Fatou's Theorem in for Convolution Integrals with General Kernels

Abstract
We prove Fatou type theorem on almost everywhere convergence of convolution integrals in spaces for general kernels, forming an approximate identity. For a wide class of kernels we show that obtained convergence regions are optimal in some sense. It is also established a weak boundedness of the corresponding maximal operator in .

Publisher
arXiv

arXiv
1905.12956

Additional Links
https://arxiv.org/pdf/1905.12956

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