Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.
Weighted Sobolev spaces and capacity.
Weighted spaces of holomorphic functions on Banach spaces
We deal with weighted spaces and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.
Weighted sub-Bergman Hilbert spaces in the unit disk
We study sub-Bergman Hilbert spaces in the weighted Bergman space . We generalize the results already obtained by Kehe Zhu for the standard Bergman space .
Weighted topology in the non-locally convex setting
Well-posedness and scattering for the KP-II equation in a critical space
Well-posedness for a class of non-Newtonian fluids with general growth conditions
The paper concerns uniqueness of weak solutions to non-Newtonian fluids with nonstandard growth conditions for the Cauchy stress tensor. We recall the results on existence of weak solutions and additionally provide the proof of existence of measure-valued solutions. Motivated by the fluids of strongly inhomogeneous behaviour and having the property of rapid shear thickening we observe that the described situation cannot be captured by power-law-type rheology. We describe the growth conditions with...
Weyl Numbers in Function Spaces.
Weyl Numbers in Function Spaces II.
When does bvca (...,X) Contain a Copy of l... ?
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
In this paper we give a general presentation of the homogenization of Neumann type problems in periodically perforated domains, including the case where the shape of the reference hole varies with the size of the period (in the spirit of the construction of self-similar fractals). We shows that -convergence holds under the extra assumption that there exists a bounded sequence of extension operators for the reference holes. The general class of Jones-domains gives an example where this result applies....
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
In this paper we give a general presentation of the homogenization of Neumann type problems in periodically perforated domains, including the case where the shape of the reference hole varies with the size of the period (in the spirit of the construction of self-similar fractals). We shows that H0-convergence holds under the extra assumption that there exists a bounded sequence of extension operators for the reference holes. The general class of Jones-domains gives an example where this result...
Whitney covers and quasi-isometry of -averaging domains.
Whitney's extension theorem for non-quasi-analytic classes of ultradifferentiable functions.
This note can be considered as a long summary of the invited lecture given by J. Bonet in the Second Functional Analysis Meeting held in Jarandilla de la Vega (Cáceres) in June 1980 and it is based on our joint article [2], which will appear in Studia Mathematica. (...) The main result of the paper [2] is the characterization of those weight functions for which the analogue of Whitney's extension theorem holds.
Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
Why minimax is not that pessimistic
In nonparametric statistics a classical optimality criterion for estimation procedures is provided by the minimax rate of convergence. However this point of view can be subject to controversy as it requires to look for the worst behavior of an estimation procedure in a given space. The purpose of this paper is to introduce a new criterion based on generic behavior of estimators. We are here interested in the rate of convergence obtained with some classical estimators on almost every, in the sense...
Wiener amalgam spaces for the fundamental identity of Gabor analysis.
In the last decade it has become clear that one of the central themes within Gabor analysis (with respect to general time-frequency lattices) is a duality theory for Gabor frames, including the Wexler-Raz biorthogonality condition, the Ron-Shen duality principle and the Janssen representation of a Gabor frame operator. All these results are closely connected with the so-called Fundamental Identity of Gabor Analysis, which we derive from an application of Poisson's summation formula for the symplectic...
Wiener amalgam spaces with respect to quasi-Banach spaces
We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.
Wiener amalgams and summability of Fourier series.
Wiener Tauberian theorems for vector-valued functions.