Open Access
July 2018 Besov and Triebel–Lizorkin space estimates for fractional diffusion
Kôzô Yabuta, Minsuk Yang
Hiroshima Math. J. 48(2): 141-158 (July 2018). DOI: 10.32917/hmj/1533088828

Abstract

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.

Citation

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Kôzô Yabuta. Minsuk Yang. "Besov and Triebel–Lizorkin space estimates for fractional diffusion." Hiroshima Math. J. 48 (2) 141 - 158, July 2018. https://doi.org/10.32917/hmj/1533088828

Information

Received: 29 December 2016; Revised: 7 March 2018; Published: July 2018
First available in Project Euclid: 1 August 2018

zbMATH: 06965538
MathSciNet: MR3835554
Digital Object Identifier: 10.32917/hmj/1533088828

Subjects:
Primary: 42B25
Secondary: 26D10

Keywords: Besov spaces , Fractional diffusion , Triebel–Lizorkin spaces

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

Vol.48 • No. 2 • July 2018
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