Continuity properties for linear commutators of Calderón-Zygmund operators.
Josefina Alvarez (1998)
Collectanea Mathematica
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Josefina Alvarez (1998)
Collectanea Mathematica
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Margaret Murray (1987)
Studia Mathematica
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Loukas Grafakos, Nigel Kalton (2001)
Collectanea Mathematica
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It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
Loukas Grafakos, Rodolfo H. Torres (2002)
Publicacions Matemàtiques
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A variety of results regarding multilinear singular Calderón-Zygmund 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....
E. Fabes, S. Sroka, K.-O. Widman (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jean-Lin Journé (1985)
Revista Matemática Iberoamericana
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Josefina Alvarez, Mario Milman (1986)
Revista Matemática Iberoamericana
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In this article we consider a theory of vector valued strongly singular operators. Our results include Lp, Hp and BMO continuity results. Moreover, as is well known, vector valued estimates are closely related to weighted norm inequalities. These results are developed in the first four sections of our paper. In section 5 we use our vector valued singular integrals to estimate the corresponding maximal operators. Finally in section 6 we discuss...
Yong Sheng Han (1994)
Revista Matemática Iberoamericana
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In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.
Robert Fefferman (1985)
Revista Matemática Iberoamericana
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