Displaying similar documents to “Some techniques for the characterization of intermediate spaces”

On the unit-1-stable rank of rings of analytic functions.

María Jesús Carro, Joan Cerdà (1992)

Publicacions Matemàtiques

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We identify the intermediate space of a complex interpolation family -in the sense of Coifman, Cwikel, Rochberg, Sagher and Weiss- of L spaces with change of measure, for the complex interpolation method associated to any analytic functional.

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

Ming Fan (1994)

Studia Mathematica

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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...

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.

Extrapolation theory for the real interpolation method.

María J. Carro, Joaquim Martín (2002)

Collectanea Mathematica

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We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega.