@article{Baaske2024, 
author = {Franka Baaske and Romaric Kana Nguedia and Hans-Jürgen Schmeißer},
title = {Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {31962-31984},
keywords = {Morrey smoothness spaces of Besov and Triebel-Lizorkin type, caloric smoothing, wavelets, molecules, fractional Gauss-Weierstrass semi-group},
url = {https://www.sciopen.com/article/10.3934/math.20241536},
doi = {10.3934/math.20241536},
abstract = {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.}
}