6 citations · 13 across the 20 of their papers we have counts for
10 papers · 1 filter
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…
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 previously…
On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains
R. F. Shamoyan, E. B. Tomashevskaya
We prove the boundedness of Bergman type projections in two different analytic function spaces in bounded strongly pseudoconvex domains with the smooth boundary. Our results were p…
On multipliers of some new analytic function spaces in polydisc of BMOA type
Romi F. Shamoyan
We define two new BMOA type analytic function spaces in polydisk. We provide several new results concerning coefficient multipliers of these two new BMOA analytic function spaces i…
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…