Operators with Gaussian kernel bounds on mixed Morrey spaces-Reference-Cited by-同舟云学术

Operators with Gaussian kernel bounds on mixed Morrey spaces

Published:2019 Issue:16 Volume:33 Page:5219-5230
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Anceschi Francesca¹,Goodrich Christopher²,Scapellato Andrea³

Affiliation:

1. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università degli Studi di Modena e Reggio Emilia, Modena, Italy

2. School of Mathematics and Statistics, UNSW Australia, Sydney, NSW, Australia

3. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Catania, Italy

Abstract

Let L be an analytic semigroup on L2(Rn) with Gaussian kernel bound, and let L-?/2 be the fractional operator associated to L for 0 < ? < n. In this paper, we prove some boundedness properties for the commutator [b,L-?/2] on Mixed Morrey spaces Lq,? (0,T,Lp,?(Rn)), when b belongs to BMO(Rn) or to suitable homogeneous Lipschitz spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

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