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Besov and Triebel – Lizorkin space estimates for fractional diffusion. (English) Zbl 1401.42022

Summary: We study Besov and Triebel-Lizorkin space estimates for fractional diffusion. We measure the smoothing effect of the fractional heat flow in terms of the Besov and Triebel-Lizorkin scale. These estimates have many applications to various partial differential equations.

MSC:

42B25 Maximal functions, Littlewood-Paley theory
26D10 Inequalities involving derivatives and differential and integral operators
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Full Text: Euclid