10 papers
Recent advances in Bergman type projections in bounded pseudoconvex and tubular domains
R. F. Shamoyan, M. G. Bashmakova
The intention of this survey to collect in one paper many recent results and advances related with Bergman type projection acting in various spaces of analytic functions in several…
Sharp restrictions of analytic function spaces of several variables
R. F. Shamoyan, N. M. Makhina
In this expository paper we collect many recent advances in analytic function spaces of several complex variables related with trace problem in tubular domains over symmetric cones…
On Bergman projections and sharp decomposition theorems in tubular and related domains in
R. F. Shamoyan
The theory of analytic function spaces in very general tubular domains over symmetric cones is a relatively new interesting research area. Tube domains are very general and very co…
On embedding theorems in analytic and harmonic function spaces of several variables in some domains in
R. F. Shamoyan, M. G. Bashmakova
In this survey we collect some recent advances concerning embedding theorems in analytic and harmonic function spaces of several variables in various domains in Some sharp e…
On some new embeddings in minimal bounded homogeneous domains in
R. F. Shamoyan, N. M. Makhina
In this short note we consider very general bounded minimal homogeneous domains. Under certain natural additional conditions new sharp results on Bergman type analytic spaces in mi…
On some new sharp results on Toeplits operators in the unit disk
R. F. Shamoyan, V. A. Bednazh
We provide new sharp results on the action of Toeplitz operators from Triebel and Besov spaces to new BMOA-type function spaces on the unit disk. In this paper we consider $s\geq 1…