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Mostrando ítems 11-20 de 23
Artículo
The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure
(Elsevier, 2019)
For a vector measure m, with values in a Banach space, we analyze the localization of uniformly integrable subsets of scalar integrable functions with respect to m in a suitable Orlicz space associated to m. As tools we ...
Artículo
A note on real interpolation of L-P-spaces of vector measures on delta-rings
(Elsevier, 2014)
We describe the real interpolation spaces obtained when we apply the real K-method of Lions–Peetre to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined ...
Artículo
Some properties and applications of equicompact sets of operators
(Polskiej Akademii Nauk, Instytut Matematyczny, 2007)
Let X and Y be Banach spaces. A subset M of K(X,Y ) (the vector space of all compact operators from X into Y endowed with the operator norm) is said to be equicompact if every bounded sequence (xn) in X has a subsequence ...
Artículo
Weighted Hardy inequalities, real interpolation methods and vector measures
(Springer, 2014)
We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation method defined by a parameter function is applied to the pairs (L 1 , L∞) and (L 1,∞, L∞) of function ...
Artículo
The Fatou Completion of a Fréchet Function Space and Applications
(Cambridge University Press, 2010)
Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to construct a minimal Fréchet (function) lattice containing it, called its Fatou completion. As an application, we obtain ...
Artículo
Complex interpolation of L-p-spaces of vector measures on delta-rings
(Elsevier, 2013)
We apply the Calderón interpolation methods to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined on a δ-ring. In general, the results we obtain are ...
Artículo
Positive Representations of L1 of a Vector Measure
(Springer, 2007)
We characterize the vector measures n on a Banach lattice such that the map |·|dn provides a quasi-norm which is equivalent to the canonical norm · n of the space L1(n) of integrable functions as an specific type ...
Artículo
Interpolation with a parameter function and integrable function spaces with respect to vector measures
(Ele-Math, 2015)
We establish interpolation formulae for different compatible couples formed by spaces of scalar integrable functions with respect to a vector measure in connection with a parameter function.
Artículo
Interpolation with a parameter function of Lp-spaces with respect to a vector measure on a δ-ring
(Tusi Mathematical Research Group, 2016)
Let ν be a σ-finite Banach-space-valued measure defined on a δ-ring. We find a wide class of measures ν for which interpolation with a parameter function of couples of Banach lattices of p-integrable and weakly p-integrable ...
Artículo
Reflexivity of function spaces associated to a σ-finite vector measure
(Elsevier, 2016)
For a vector measure ν defined on a δ-ring with values in a Banach space and 1 < p < ∞, we characterize the reflexivity of the different spaces Lp w(ν) (integrability in the weak sense), Lp(ν) (integrability in the ...