Complex interpolation and spaces
M. Carro, J. Cerdà (1991)
Studia Mathematica
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M. Carro, J. Cerdà (1991)
Studia Mathematica
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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.
Eugenio Hernández (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
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 spaces and the recent method of Cobos-Peetre.
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.
Fan, Ming (2002)
Abstract and Applied Analysis
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María J. Carro (1994)
Collectanea Mathematica
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