Valdivia compact spaces in topology and Banach space theory.
Valdivia compacta and equivalent norms
We prove that the dual unit ball of a Banach space X is a Corson compactum provided that the dual unit ball with respect to every equivalent norm on X is a Valdivia compactum. As a corollary we show that the dual unit ball of a Banach space X of density is Corson if (and only if) X has a projectional resolution of the identity with respect to every equivalent norm. These results answer questions asked by M. Fabian, G. Godefroy and V. Zizler and yield a converse to Amir-Lindenstrauss’ theorem.
Valdivia compacta and subspaces of C(K) spaces.
Valeurs absolues des algèbres de Krasner
Valeurs limites pour les éléments des chaos
Variable Besov and Triebel--Lizorkin spaces.
Variable exponent Fock spaces
We introduce variable exponent Fock spaces and study some of their basic properties such as boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality. We also prove that under the global log-Hölder condition, the variable exponent Fock spaces coincide with the classical ones.
Variable exponent Sobolev spaces with zero boundary values
We study different definitions of the first order variable exponent Sobolev space with zero boundary values in an open subset of .
Variable exponent trace spaces
The trace space of consists of those functions on ℝⁿ that can be extended to functions of (as in the fixed-exponent case). Under the assumption that p is globally log-Hölder continuous, we show that the trace space depends only on the values of p on the boundary. In our main result we show how to define an intrinsic norm for the trace space in terms of a sharp-type operator.
Variable Lebesgue norm estimates for BMO functions
In this paper, we are going to characterize the space through variable Lebesgue spaces and Morrey spaces. There have been many attempts to characterize the space by using various function spaces. For example, Ho obtained a characterization of with respect to rearrangement invariant spaces. However, variable Lebesgue spaces and Morrey spaces do not appear in the characterization. One of the reasons is that these spaces are not rearrangement invariant. We also obtain an analogue of the well-known...
Variable Sobolev capacity and the assumptions on the exponent
In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
Variables aléatoires échangeables et espaces d'Orlicz
Variables aléatoires échangeables et espaces d'Orlicz (suite)
Variational and topological methods for Dirichlet problems with -Laplacian.
Variational FK Spaces and Two-Norm Convergence.
Variational fractals
Variational inequalities for energy functionals with nonstandard growth conditions.
Variational inequalities of strongly nonlinear elliptic operators of infinite order.
Variational inequalities of strongly nonlinear elliptic operators of infinite order.
Variational principle, conjugate convex functions and “the equivalence of ensembles”