3 papers
math.AP2021
Composition operators on Hardy-Sobolev spaces and -quasiconformal mappings
Alexander Menovschikov, Alexander Ukhlov
In this paper we consider composition operators on Hardy-Sobolev spaces in connections with -quasiconformal mappings. Using the duality of Hardy spaces and -spaces we pro…
math.AP2020
An extended variational theory for nonlinear evolution equations via modular spaces
Alexander Menovschikov, Anastasia Molchanova, Luca Scarpa
We propose an extension of the classical variational theory of evolution equations that accounts for dynamics also in possibly non-reflexive and non-separable spaces. The pivoting…
math.FA2020
Sobolev space of functions valued in a monotone Banach family
Nikita Evseev, Alexander Menovschikov
We apply the metrical approach to Sobolev spaces, which arise in various evolution PDEs. Functions from those spaces are defined on an interval and take values in a family of Banac…