5 papers
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…
Preorders on Subharmonic Functions and Measures with Applications to the Distribution of Zeros of Holomorphic Functions
Bulat N. Khabibullin, Enzhe B. Menshikova
Let be a class of extended numerical functions on a domain of -dimensional Euclidean space , . Given , we write if there…
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…
Gluing Theorems for Subharmonic Functions
Bulat N. Khabibullin, Enzhe Menshikova
In our articles of recent years, the technique of gluing two subharmonic functions turned out to be very useful in studying the distribution of the roots or masses of holomorphic o…
Classical Balayage of Charges and Measures
Bulat N. Khabibullin, Enzhe Menshikova
We investigate some properties of balayage of charges and measures for subclasses of subharmonic functions and their relationship to the geometry of domain or open set in finite-di…