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Open Access Research Article Issue
Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces
Franka Baaske, Romaric Kana Nguedia, Hans-Jürgen Schmeißer
AIMS Mathematics 2024, 9(11): 31962-31984
Published: 11 November 2024
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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.

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