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.
Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez (2006)
RACSAM
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This note deals with interpolation methods defined by means of polygons. We show necessary and sufficient conditions for compactness of operators acting from a J-space into a K-space.
Maligranda, Lech
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D. Staszak (1992)
Collectanea Mathematica
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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...
Andreas Defant, Mieczyslaw Mastylo, Carsten Michels (2003)
RACSAM
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For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.