Egor A. Maximenko

collaborators

3 papers

math.OA2025

Integral representation of translation-invariant operators on reproducing kernel Hilbert spaces

Shubham R. Bais, Egor A. Maximenko, D. Venku Naidu

We suppose that $G$ is a locally compact abelian group, $Y$ is a measure space, and $H$ is a reproducing kernel Hilbert space on $G \times Y$ such that $H$ is naturally embedded int…

math.FA2025

Toeplitz operators in Bergman space induced by radial measures

Egor A. Maximenko, Carlos G. Pacheco

We study radial Carleson--Bergman measures on the unit disk and the corresponding Toeplitz operators acting in the Bergman space. First, we show that such Toeplitz operators are di…

math.CO2024

Complete homogeneous symmetric polynomials with repeating variables

Luis Angel González-Serrano, Egor A. Maximenko

We consider polynomials of the form $h_{m} (y_{1}^{[ϰ_{1}]}, \dots, y_{n}^{[ϰ_{n}]})$ , where $h_{m}$ is the complete homogeneous polynomial of degre…