An interpolation theorem on Banach function spaces

Tetsuya Shimogaki

Displaying similar documents to “An interpolation theorem on Banach function spaces”

A generalization of the Shimogaki theorem

Lech Maligranda (1981)

Studia Mathematica

Similarity:

Interpolation of compact nonlinear operators.

Bento, A.J.G. (2000)

Journal of Inequalities and Applications [electronic only]

Similarity:

On the interpolation of sublinear operators

Svante Janson (1982)

Studia Mathematica

Similarity:

Some remarks on Orlicz's interpolation theorem

Lech Maligranda (1989)

Studia Mathematica

Similarity:

A generalization of the Maligranda--Orlicz Lemma.

Castillo, René Erlín, Trousselot, Eduard (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Similarity:

On a necessary condition for interpolation by functions in the Lipschitz class.

Vasin, A.V. (2004)

Zapiski Nauchnykh Seminarov POMI

Similarity:

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

Jesús Bastero, Francisco Ruiz (1993)

Studia Mathematica

Similarity:

Under some assumptions on the pair $(A_{0}, B_{0})$ , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are $L^{\infty}$ . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.

Interpolation of Orlicz spaces

Jan Gustavsson, Jaak Peetre (1977)

Studia Mathematica

Similarity:

Indices and interpolation

Lech Maligranda

Similarity:

CONTENTS0. Introduction.............................................................................51. Submultiplicative functions and indices...................................72. Indices of measurable functions...........................................123. Indices of Orlicz spaces........................................................194. Indices of rearrangement invariant spaces...........................255. Interpolation theorems for weak type operators....................296....

Banach spaces of functions satisfying a modulus of continuity condition

Robert Fraser (1969)

Studia Mathematica

Similarity:

The K-functional for rearrangement invariant spaces

Alberto Torchinsky (1979)

Studia Mathematica

Similarity:

Banach spaces of Lipschitz functions

K. de Leeuw (1961)

Studia Mathematica

Similarity: