Multilinear Calderón-Zygmund operators on Hardy spaces.
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, Nigel Kalton (2001)
Collectanea Mathematica
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It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
Margaret Murray (1987)
Studia Mathematica
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Ronald R. Coifman, Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the H space context.
Guoen Hu, Dachun Yang (2000)
Studia Mathematica
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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
Anthony Carbery (1986)
Revista Matemática Iberoamericana
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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...
E. Fabes, S. Sroka, K.-O. Widman (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Michael Wilson (2003)
Publicacions Matemàtiques
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Roberto Macías, Carlos Segovia (1979)
Studia Mathematica
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