A. Menovschikov

activity

20172026

most citedBounded operators on mixed norm Lebesgue spaces

8 citations · 18 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.FA2020★ 5 cited

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…

math.FA2019

Decomposable operators acting between distinct $L^{p}$ -direct integrals of Banach spaces

Nikita Evseev, Alexander Menovschikov

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…

math.FA2017★ 8 cited

Bounded operators on mixed norm Lebesgue spaces

Nikita Evseev, Alexander Menovschikov

We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators…

Sobolev space of functions valued in a monotone Banach family

Decomposable operators acting between distinct Lp-direct integrals of Banach spaces

Bounded operators on mixed norm Lebesgue spaces

Decomposable operators acting between distinct $L^{p}$ -direct integrals of Banach spaces