Measuring Triebel-Lizorkin fractional smoothness on domains in terms of first-order differences
Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2019
Abstract:	In this note, we give equivalent characterizations for a fractional Triebel-Lizorkin space (Formula presented. ) in terms of first-order differences in a uniform domain (Formula presented. ). The characterization is valid for any positive, non-integer real smoothness (Formula presented. ) and indices (Formula presented. ), (Formula presented. ) as long as the fractional part (Formula presented. ) is greater than (Formula presented. ).
Grants:	European Commission 320501 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-395 Ministerio de Ciencia e Innovación MTM-2016-77635-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	42B35 ; 46E35 (primary)
Published in:	Journal of the London Mathematical Society, Vol. 100, Issue 2 (October 2019) , p. 692-716, ISSN 1469-7750

DOI: 10.1112/jlms.12225

26 p, 678.3 KB

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