A simple characterization of chaos for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spaces

A Simple Characterization of Chaos for Weighted Composition C0-semigroups on Lebesgue and Sobolev Spaces

The purpose of this article is to give a simple characterization of chaos for certain weighted composition C0-semigroups on Lebesgue spaces and Sobolev spaces over open intervals. Recall that a C0-semigroup T on a separable Banach space X is called chaotic if T is hypercyclic, i.e. there is x ∈ X such that {T (t)x; t ≥ 0} is dense in X , and if the set of periodic points, i.e. {x ∈ X ; ∃t > 0 :...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

A Note on Weighted Composition Operators on L^p-Spaces

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.

A simple characterization of weighted Sobolev spaces with bounded multiplication operator

In this paper we give a simple characterization of weighted Sobolev spaces (with piecewise monotonous weights) such that the multiplication operator is bounded: it is bounded if and only if the support of μ0 is large enough. We also prove some basic properties of the appropriate weighted Sobolev spaces. To have bounded multiplication operator has important consequences in Approximation Theory: ...