G. Rozenblum

activity

20052026

most citedFinite rank Toeplitz operators in Bergman spaces

9 citations · 62 across the 44 of their papers we have counts for

collaborators

48 papers

math.SP2026

Negative eigenvalue estimates for polyharmonic Schrödinger operators with measure-potentials: the subcritical case

Medet Nursultanov, Grigori Rozenblum

We study spectral estimates for polyharmonic Schrödinger operators $- Δ^{l} - μ$ in the subcritical regime $2 l < N$ . The measure potential $μ$ is assumed to satisfy a capacitary…

math.AP2026

Higher order H{ö}lder approximation by solutions of second order elliptic equations

Grigori Rozenblum, Nikolay Shirokov

For a given second order elliptic operation $L$ in a domain $Ω \subset R^{N}$ , $N$ , and a compact set $K \subset Ω$ , order $N$ -…

math.SP2025

Spectral asymptotics and estimates for matrix Birman-Schwinger operators with singular measures

Grigori Rozenblum, Grigory Tashchiyan

We consider operators of the form $T = A^{*} (V μ) A$ in $R^{N}$ , where $A$ is a pseudodifferential operator of order $- l$ , $μ$ is a co…

math.SP2024

Negative eigenvalue estimates for the 1D Schr{ö}dinger operator with measure-potential

Robert Fulsche, Medet Nursultanov, Grigori Rozenblum

We investigate the negative part of the spectrum of the operator $- \partial^{2} - μ$ on $L^{2} (R)$ , where a locally finite Radon measure $μ \geq 0$ is serving as a potential. We…

math.SP2024★ 1 cited

Spectral properties of the resolvent difference for singularly perturbed operators

Grigori Rozenblum

We obtain order sharp spectral estimates for the difference of resolvents of singularly perturbed elliptic operators $A + V_{1}$ and $A + V_{2}$ in a do…

math.AP2023

Approximation of functions on a compact set by solutions of elliptic equations. Quantitative results

Grigori Rozenblum, Nikolai Shirokov

We establish that a generalized Hölder continuous function on an $(m - 2)$ -Ahlfors regular compact set in $R^{m}$ can be approximated by solutions of an elliptic equation, wit…