Interpolation of operators when the extreme spaces are $L^{∞}$

Jesús Bastero; Francisco Ruiz

Displaying similar documents to “Interpolation of operators when the extreme spaces are $L^{\infty}$ ”

On the relation between complex and real methods of 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.

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.

Real interpolation for families of Banach spaces

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 $2^{N}$ spaces and the recent method of Cobos-Peetre.

Real interpolation for families of Banach spaces (II).

María J. Carro (1994)

Collectanea Mathematica

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On the interpolation of sublinear operators

Svante Janson (1982)

Studia Mathematica

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Interpolation of weighted $L_{p}$ -spaces

Gunnar Sparr (1978)

Studia Mathematica

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On interpolation of weighted $L^{p}$ -spaces and Ovchinnikov’s theorem

Jan Gustavsson (1982)

Studia Mathematica

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On commutativity of interpolation with intersection

Maligranda, Lech

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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.

Displaying similar documents to “Interpolation of operators when the extreme spaces are L ∞ ”

Displaying similar documents to “Interpolation of operators when the extreme spaces are $L^{\infty}$ ”