A Marcinkiewicz integral type characterization of the Sobolev space
Hajlasz, Piotr (University of Pittsburgh (Estats Units d'Amèrica). Department of Mathematics)
Liu, Zhuomin (Charles University (Txecoslovàquia). Department of Mathematical Analysis)

Date:	2017
Abstract:	In this paper we present a new characterization of the Sobolev space W1,p , 1 < p < ∞ which is a higher dimensional version of a result of Waterman [32]. We also provide a new and simplified proof of a recent result of Alabern, Mateu, and Verdera [2]. Finally, we generalize the results to the case of weighted Sobolev spaces with respect to a Muckenhoupt weight.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Sobolev spaces ; Littlewood-paley theory
Published in:	Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 83-104 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/316079
DOI: 10.5565/PUBLMAT_61117_03

22 p, 394.5 KB

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