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 some sharp estimates of Toeplitz operator in some spaces of Hardy-Lizorkin type of analytic functions in the polydisk
R. F. Shamoyan
We provide some new sharp assertions on the action of Toeplitz operator in new type spaces of analytic functions of several complex variables extending previous…
Sharp extensions of analytic function spaces in the unit disk and related domains
Romi F. Shamoyan, Nataliya M. Makhina
In this expository paper we collect many recent advances in analytic function spaces of several complex variables related with trace problem. We consider various function space of…
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…