E. Menshikova

activity

20192023

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CV2020

Balayage of Measures on the Complex Plane with respect to Harmonic Polynomials and Logarithmic Kernels

B. N. Khabibullin, E. B. Menshikova

Balayage of measures with respect to classes of all subharmonic or harmonic functions on an open set of a plane or finite-dimensional Euclidean space is one of the main objects of…

math.CV2020

Preorders on Subharmonic Functions and Measures with Applications to the Distribution of Zeros of Holomorphic Functions

Bulat N. Khabibullin, Enzhe B. Menshikova

Let $X$ be a class of extended numerical functions on a domain $D$ of $d$ -dimensional Euclidean space $R^{d}$ , $H \subset X$ . Given $u, M \in X$ , we write $u ≺_{H} M$ if there…

math.CV2020

Affine Balayage of Measures and Distribution of Riesz Measures of Subharmonic Functions

Bulat N. Khabibullin, Enzhe B. Menshikova

We develop and use some key concepts of potential theory, such as balayage and duality between measures and their potentials, to study the distribution of masses of subharmonic fun…