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Calderón couples of rearrangement invariant spaces

N. Kalton (1993)

Studia Mathematica

We examine conditions under which a pair of rearrangement invariant function spaces on [0,1] or [0,∞) form a Calderón couple. A very general criterion is developed to determine whether such a pair is a Calderón couple, with numerous applications. We give, for example, a complete classification of those spaces X which form a Calderón couple with $L_{\infty} .$ We specialize our results to Orlicz spaces and are able to give necessary and sufficient conditions on an Orlicz function F so that the pair $(L_{F}, L_{\infty})$ forms a...

Calderon weights and the real interpolation method.

J. Bastero, M. Milman, F. J. Ruiz (1996)

Revista Matemática de la Universidad Complutense de Madrid

We introduce a class of weights for a which a rich theory of real interpolation can be developed. In particular it led us to extend the commutator theorems associated to this method.

Calderón-Zygmund operators and Poisson-like operators

J. Alvarez, M. Milman (1990)

Colloquium Mathematicae

Capacitary Orlicz spaces, Calderón products and interpolation

Pilar Silvestre (2014)

Banach Center Publications

These notes are devoted to the analysis on a capacity space, with capacities as substitutes of measures of the Orlicz function spaces. The goal is to study some aspects of the classical theory of Orlicz spaces for these spaces including the classical theory of interpolation.

Characterization of interpolation spaces and regularity properties for holomorphis semigroups.

Gabriella di Blasio (1989)

Semigroup forum

Characterization of some interpolation spaces (I)

Alessandra Lunardi (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si calcolano alcuni spazi di interpolazione fra spazi di funzioni hölderiane.

Characterization of some interpolation spaces (II)

Alessandra Lunardi (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si caratterizzano alcuni spazi di interpolazione tra spazi di funzioni continue e domini di operatori ellittici del 2° ordine.

Commutators in real interpolation with quasi-power parameters.

Fan, Ming (2002)

Abstract and Applied Analysis

Complex interpolation and $ℓ_{n}^{1}$ property.

Casini, Emanuele (1992)

Mathematica Pannonica

Complex interpolation and $L^{p}$ spaces

M. Carro, J. Cerdà (1991)

Studia Mathematica

Complex interpolation for $2^{N}$ Banach spaces

Giovanni Dore, Davide Guidetti, Alberto Venni (1986)

Rendiconti del Seminario Matematico della Università di Padova

Complex interpolation functors with a family of quasi-power function parameters

Ming Fan (1994)

Studia Mathematica

For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters...

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