Directional operators and mixed norms
Duoandikoetxea, Javier (Universidad del País Vasco. Departamento de Matemáticas)

Date:	2002
Abstract:	We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. In dimensions higher than two several interesting questions remain unanswered.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Directional Hardy-Littlewood maximal functions ; Directional Hilbert transform ; X-ray transform ; Mixed norms ; Potentials
Published in:	Publicacions matemàtiques, Vol. Extra (2002) , p. 39-56, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38031
DOI: 10.5565/PUBLMAT_Esco02_03

18 p, 272.6 KB

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