A Coifman-Rochberg type characterization of quasi-power weights.
Jesús Bastero, Mario Milman, Francisco J. Ruiz (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Jesús Bastero, Mario Milman, Francisco J. Ruiz (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Maria Carro (1994)
Studia Mathematica
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We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for spaces and the recent method of Cobos-Peetre.
Gunnar Sparr (1978)
Studia Mathematica
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M. J. Carro, J. Cerdà, J. Soria (1996)
Revista Matemática de la Universidad Complutense de Madrid
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We review the main facts that are behind a unified construction for the commutator theorem of the main interpolation methods.
Alberto Ruiz, Luis Vega (1995)
Publicacions Matemàtiques
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The purpose of this note is twofold. First it is a corrigenda of our paper [RV1]. And secondly we make some remarks concerning the interpolation properties of Morrey spaces.
Fernando Cobos Díaz (1989)
Revista Matemática de la Universidad Complutense de Madrid
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The behavior of compactness under real interpolation real is discussed. Classical results due to Krasnoselskii, Lions-Peetre, Persson, and Hayakawa are described, as well as others obtained very recently by Edmunds, Potter, Fernández, and the author.
Mario Milman (1993)
Collectanea Mathematica
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We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation...
Mieczysław Mastyło, Vladimir Ovchinnikov (1997)
Studia Mathematica
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We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.
Jan Gustavsson (1982)
Studia Mathematica
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