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arXiv · 1908.06786

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces

V. Knopova·R. Schilling
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Abstract

We use Bochner's subordination technique to obtain caloric smoothing estimates in Besov- and Triebel--Lizorkin spaces. Our new estimates extend known smoothing results for the Gau{\ss}--Weierstra{\ss}, Cauchy--Poisson and higher-order generalized Gau{\ss}--Weierstra{\ss} semigroups. Extensions to other function spaces (homogeneous, hybrid) and more general semigroups are sketched.

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V. Knopova, R. Schilling. 2019-08-19. Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces. https://arxiv.org/abs/1908.06786

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