Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces

Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces

In this paper we derive caloric smoothing estimates in Morrey smoothness spaces using decomposition techniques by means of wavelets and molecules. Our new estimate extends results for Gauss-Weierstrass, Cauchy-Poisson and fractional Gauss-Weierstrass semigroups.

Bibliographic Details
Main Authors: Franka Baaske, Romaric Kana Nguedia, Hans-Jürgen Schmeißer
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
morrey smoothness spaces of besov and triebel-lizorkin type
caloric smoothing
wavelets
molecules
fractional gauss-weierstrass semi-group
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241536?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.20241536?viewType=HTML

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