p-adic Ascoli theorems.
The aim of this paper is the study of a certain class of compact-like sets within some spaces of continuous functions over non-Archimedean ground fields. As a result, some p-adic Ascoli theorems are obtained.
P-adic Spaces of Continuous Functions I
Properties of the so called -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space of all continuous functions, from a zero-dimensional topological space to a non-Archimedean locally convex space , equipped with the topology of uniform convergence on the compact subsets of to be polarly barrelled or polarly quasi-barrelled.
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces
We obtain, in terms of associated weights, natural criteria for compact embedding of weighted Banach spaces of holomorphic functions on a wide class of domains in the complex plane. Our study is based on a complete characterization of finite-dimensional weighted spaces and canonical weights for them. In particular, we show that for a domain whose complement is not a Painlevé null set each nontrivial space of holomorphic functions with O-growth condition is infinite-dimensional.
Pairs of function spaces and exponential dichotomy on the real line.
Parabolic initial-boundary value problems in Orlicz spaces
We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.
Parametric and Non-Parametric Minima.
Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc
Partial inner product spaces of entire functions
Partial integral operators in Orlicz spaces with mixed norm
Parties bornées d'un espace topologique complètement régulier
Partition continue de l'unite et C-repletion.
Pathological Linear Spaces and Submeasures.
P-convexity of Musielak-Orlicz function spaces of Bochner type.
It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.
P-convexity of Musielak-Orlicz sequence spaces of Bochner type.
Pelczynski's Property (V) on C (.., E) Spaces.
Pełczyński's Property (V) on spaces of vector-valued functions
Perfect sets of finite class without the extension property
We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.
Periodic boundary value problems for third order differential equations
Permanence of metric fractals.
Permanence Properties of C(X,E).