Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups
SK Vodopyanov, NA Evseev - Siberian Mathematical Journal, 2022 - Springer
This article addresses the conceptual questions of quasiconformal analysis on Carnot
groups. We prove the equivalence of the three classes of homeomorphisms: the mappings …
groups. We prove the equivalence of the three classes of homeomorphisms: the mappings …
The composition operator on mixed-norm Lebesgue spaces
NA Evseev, AV Menovshchikov - Mathematical Notes, 2019 - Springer
It is known that the boundedness of the composition operator on Lebesgue spaces is
equivalent to the integrability of the volume derivative of the measurable mapping inducing …
equivalent to the integrability of the volume derivative of the measurable mapping inducing …
On measurability of Banach indicatrix
N Evseev - arXiv preprint arXiv:1508.02902, 2015 - arxiv.org
Given two metric measure spaces $ X $ and $ Y $. Let $ f: X\to Y $ be a measurable
mapping and $ A\subset X $. The Banach indicatrix (multiplicity function) is defined as $ N …
mapping and $ A\subset X $. The Banach indicatrix (multiplicity function) is defined as $ N …
[PDF][PDF] Composition operators on weighted Sobolev spaces
N Evseev - math.nsc.ru
We study mappings inducing a bounded composition operator on weighted Sobolev spaces
on Carnot groups. An analytical description of these mappings is given in terms of …
on Carnot groups. An analytical description of these mappings is given in terms of …
Decomposable operators acting between distinct -direct integrals of Banach spaces
N Evseev, A Menovschikov - Analysis Mathematica, 2024 - Springer
The notion of decomposable operators acting between distinct L p-direct integrals of Banach
spaces is introduced. We show that these operators generalize the composition operator in …
spaces is introduced. We show that these operators generalize the composition operator in …
Operators of Change of Variables in Weighted Sobolev Spaces on Carnot Groups.
N Evseev - Journal of Mathematical Sciences, 2017 - search.ebscohost.com
OPERATORS OF CHANGE OF VARIABLES IN WEIGHTED SOBOLEV SPACES ON CARNOT
GROUPS Page 1 Journal of Mathematical Sciences, Vol. 221, No. 6, March, 2017 …
GROUPS Page 1 Journal of Mathematical Sciences, Vol. 221, No. 6, March, 2017 …
Об операторах замены переменной в весовых пространствах Соболева на группе Карно
НА Евсеев - Сибирский журнал чистой и прикладной математики, 2015 - mathnet.ru
Изучаются свойства отображений, индуцирующих по правилу замены переменных
ограниченный оператор в весовых пространствах Соболева на группе Карно …
ограниченный оператор в весовых пространствах Соболева на группе Карно …