A generalization of the Shimogaki theorem
Lech Maligranda (1981)
Studia Mathematica
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Displaying similar documents to “An interpolation theorem on Banach function spaces”
A generalization of the Shimogaki theorem
Interpolation of compact nonlinear operators.
Bento, A.J.G. (2000)
Journal of Inequalities and Applications [electronic only]
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Svante Janson (1982)
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Some remarks on Orlicz's interpolation theorem
Lech Maligranda (1989)
Studia Mathematica
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A generalization of the Maligranda--Orlicz Lemma.
Castillo, René Erlín, Trousselot, Eduard (2007)
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On a necessary condition for interpolation by functions in the Lipschitz class.
Vasin, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Interpolation of operators when the extreme spaces are
Jesús Bastero, Francisco Ruiz (1993)
Studia Mathematica
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Under some assumptions on the pair , 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 . 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
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Indices and interpolation
Lech Maligranda
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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
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The K-functional for rearrangement invariant spaces
Alberto Torchinsky (1979)
Studia Mathematica
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Banach spaces of Lipschitz functions
K. de Leeuw (1961)
Studia Mathematica
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