6 citations · 13 across the 20 of their papers we have counts for
23 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…
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…
On an extremal problem in two Siegel domains
Romi Shamoyan
We provide sharp new estimates for distance function in a Siegel domain of first and of second type
On an extremal problem in analytic function spaces in tube domains over symmetric cones
Romi F. Shamoyan
New sharp estimates concerning distance function in Bergman - type analytic function spaces on tube domains over symmetric cones are obtained. These are first results of this type…
On multipliers of mixed-norm analytic F^{p,q} type spaces on the unit polydisk
Romi Shamoyan, Milos Arsenovic
We describe certain new spaces of coefficient multipliers of analytic Lizorkin-Triebel type spaces in the unit polydisk with some restrictions on parameters.This extend…
A note on Fefferman-Stein type characterizations for certain spaces of analytic functions in the unit disk
Romi Shamoyan, Milos Arsenovic
We obtain new characterizations of Bergman and Bloch spaces on the unit disc involving equivalent (quasi)-norms of these spaces.Our results are in spirit of estimates obtained by F…
On multipliers of spaces of harmonic functions of the unit ball in R^n
Romi Shamoyan, Ali Abkar
We completely describe spaces of multipliers of certain harmonic function spaces of Bergman type in R^n.This is the first sharp result of this kind for Bergman type mixed norm spac…
Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems
Milos Arsenovic, Romi F. Shamoyan
We introduce and study properties of certain new harmonic function spaces on products of upper half-spaces.Norm estimates for the so-called expanded Bergman projections are obtaine…
Embedding theorems for harmonic multifunctional spaces on R^n+1
Milos Arsenovic, Romi F. Shamoyan
We introduce and study properties of certain new multifunctional harmonic spaces in the upper halfspace.We prove several sharp embedding theorems for such multifunctional spaces,th…
On several new results on p-Carleson measures and related measures in the unit disk
Romi Shamoyan, Ali Abkar
We provide some new sharp embeddings for p-Carleson and related measures in the unit disk of the complex plane
On some extremal problems in spaces of harmonic functions
Milos Arsenovic, Romi Shamoyan
We give solutions to some extremal problems involving distance function in mixed norm spaces of harmonic functions on the unit ball of R^n
On some new theorems on multipliers in harmonic function spaces in higher dimension II
Miloš Arsenović, Romi F. Shamoyan
We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Romi Shamoyan, Haiying Li
We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
Romi Shamoyan, Milos Arsenovic
We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoco…
Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension
Miloš Arsenović, Romi F. Shamoyan
We present new sharp results concerning multipliers and distance estimates in various spaces of harmonic functions in the unit ball of .