Corrigendum on the paper Remarks on compact operators between interpolation spaces associated to polygons.

Fernando Cobos; Luz M. Fernández-Cabrera; Antón Martínez

Displaying similar documents to “Corrigendum on the paper Remarks on compact operators between interpolation spaces associated to polygons.”

Remarks on compact operators between interpolation spaces associated to polygons.

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.

A commutator theorem with applications.

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...

Bilinear operators and limiting real methods

Fernando Cobos, Alba Segurado (2014)

Banach Center Publications

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We investigate the behaviour of bilinear operators under limiting real methods. As an application, we show an interpolation formula for spaces of linear operators. Some results on norm estimates for bounded linear operators are also established.

Remarks on interpolation of bilinear operators by methods associated to polygons

P. Fernández-Martínez (2003)

Bollettino dell'Unione Matematica Italiana

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We study interpolation of bilinear operators by the polygons methods. We prove an interpolation theorem of type $K \times K$ into $K$ spaces, and show the optimality of the precedings results.

Real interpolation and compactness.

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.