On multilinear singular integrals of Calderón-Zygmund type
Grafakos, Loukas (University of Missouri. Department of Mathematics)
Torres, Rodolfo H. (University of Kansas. Department of Mathematics)

Date:	2002
Abstract:	A variety of results regarding multilinear Calderón-Zygmund singular integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal operator associated with multilinear singular integrals is also introduced and employed to obtain weighted norm inequalities.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Calderón-Zygmund theory ; Multilinear operators ; Pseudodifferential operators ; Interpolation ; T1 Theorem ; Littlewood-Paley theory ; Wavelets ; Schur's test
Published in:	Publicacions matemàtiques, Vol. Extra (2002) , p. 57-91, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38032
DOI: 10.5565/PUBLMAT_Esco02_04

35 p, 421.5 KB

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