Add to ORKG[EN] An explicit construction for the representation of the Calderón interpolation of spaces of vector measure integrable functions is given as well as for the representation of the real interpolation of these spaces using the K-functional. In order to do this, we introduce a technique based on interpolation of function valued matrices. For the real interpolation, we develop a vector-valued version of the K-functional having values in `¿-spaces, providing in this way a new procedure for the study of the interpolation of general Banach lattices.Support of the Ministerio de Economía y Competitividad (Spain) under project #MTM2012-36740-C02-02 (Spain) is gratefully acknowledged. The research was also supported by National Science Center, Polan...
AbstractWe use the integration structure of the spaces of scalar integrable functions with respect t...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...
[EN] Let (Omega, Sigma) be a measurable space and m(0) : Sigma -> X-0 and m(1) : Sigma -> X-1 be pos...
Using the representation of the real interpolation of spaces of p-integrable functions with respect ...
AbstractFor a given measurable space (Ω,Σ), and a vector measure m:Σ→X with values in a Banach space...
[EN] Using the representation of the real interpolation of spaces of p-integrable functions with res...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
[EN] As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a gen...
The theory of interpolation spaces originally arose from an attempt to gene-ralize the classical int...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
The spaces L1(m) of all m-integrable (resp. L1w(m) of all scalarly m-integrable) functions for a ve...
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz b...
AbstractWe use the integration structure of the spaces of scalar integrable functions with respect t...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...
[EN] Let (Omega, Sigma) be a measurable space and m(0) : Sigma -> X-0 and m(1) : Sigma -> X-1 be pos...
Using the representation of the real interpolation of spaces of p-integrable functions with respect ...
AbstractFor a given measurable space (Ω,Σ), and a vector measure m:Σ→X with values in a Banach space...
[EN] Using the representation of the real interpolation of spaces of p-integrable functions with res...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
[EN] As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a gen...
The theory of interpolation spaces originally arose from an attempt to gene-ralize the classical int...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
The spaces L1(m) of all m-integrable (resp. L1w(m) of all scalarly m-integrable) functions for a ve...
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz b...
AbstractWe use the integration structure of the spaces of scalar integrable functions with respect t...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...
A sampling expansion for vector-valued functions having values in a Banach space, together with an i...