Brownian path preserving mappings on the Heisenberg group. Journal of Mathematical Analysis and Applications, 548:2, 2025 (arxiv)
Decomposable operators acting between distinct Lp-direct integrals of Banach spaces. Analysis Mathematica 50, 861–892, 2024 (with А. Menovschikov) (arxiv)
An approach to metric space-valued Sobolev maps via weak* derivatives. Analysis and Geometry in Metric Spaces, 12:1, 2024, pp. 20230107 (with P. Creutz) (arxiv)
Functional and Analytical Properties of a Class of Mappings of Quasiconformal Analysis on Carnot Groups. Siberian Mathematical Journal, 63:2, 2022, 233–261 (with S. K. Vodop'yanov)
Vector-valued Sobolev spaces based on Banach function spaces. Nonlinear Analysis, 211, 2021 (arxiv)
Sobolev space of functions valued in a monotone Banach family. Journal of Mathematical Analysis and Applications, 492:1, 2020 (with А. Menovschikov) (arxiv)
On Changing Variables in Lp-Spaces with Distributed-Microstructure. Russian Mathematics, 64:3, 2020, 82--86 (with А. Menovschikov)
The Composition Operator on Mixed-Norm Lebesgue Spaces. Math Notes, 105:5-6 (2019), 812-817 (with А. Menovschikov) (link)
Bounded operators on mixed Lebesgue spaces. Complex Analysis and Operator Theory (with А. Menovschikov) (link, arxiv)
On measurability of Banach indicatrix. Colloquium Mathematicum, 153 (2018), 97-101. (arxiv, pdf)
Bounded composition operator on Lorentz spaces. Math Notes, 102:6 (2017), 763-769 (arxiv)
Operators of Change of Variables in Weighted Sobolev Spaces on Carnot Groups. J. Math. Sci. 221, 826-832 (2017).
Differentiation of the convolution on the roto-translation group. Math Notes 101, 171-175 (2017). (with M. Tryamkin)
Composition operators in weighted Sobolev spaces on the Carnot group. Siberian Mathematical Journal, 56, 1042–1059 (2015).
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Siberian Mathematical Journal, 56, 789–821 (2015). (with S. K. Vodop'yanov)
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Dokl. Math. 92, 532–536 (2015). (with S. K. Vodop'yanov)
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Siberian Mathematical Journal, 55, 817–848 (2014). (with S. K. Vodop'yanov)
Weak derivatives and metric differentiability almost everywhere
Zero-extension convergence and Sobolev spaces on changing domains (with M. Kampschulte and А. Menovschikov) (arxiv)
Continuity of the Nemytskii operator on Sobolev spaces of Banach valued functions (with M. Tryamkin)
Weak differentiability of metric space valued Sobolev maps (with P. Creutz) (arxiv)