On multilinear singular integrals of Calderón-Zygmund type

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dc.contributor.author	Grafakos, Loukas
dc.contributor.author	Torres, Rodolfo H.
dc.date	2002
dc.identifier	https://ddd.uab.cat/record/138520
dc.identifier	urn:10.5565/PUBLMAT_Esco02_04
dc.identifier	urn:oai:ddd.uab.cat:138520
dc.identifier	urn:articleid:20144350vExtrap57
dc.identifier	urn:oai:raco.cat:article/38032
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Publicacions matemàtiques ; Vol. Extra (2002), p. 57-91
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Calderón-Zygmund theory
dc.subject	Multilinear operators
dc.subject	Pseudodifferential operators
dc.subject	Interpolation
dc.subject	T1 Theorem
dc.subject	Littlewood-Paley theory
dc.subject	Wavelets
dc.subject	Schur's test
dc.title	On multilinear singular integrals of Calderón-Zygmund type
dc.type	Article
dc.description.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.