6 citations · 15 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones
Romi Shamoyan, Milos Arsenovic
We obtain a new general sufficient condition for the continuity of the Bergman projection in tube domains over symmetric cones using multifunctional embeddings.We also obtain some…
On Embeddings,Traces and Multipliers in harmonic function spaces
Milos Arsenovic, Romi F. Shamoyan
This paper is devoted to certain applications of classical Whitney decomposition of the upper half space R^n+1 to various problems in harmonic function spaces in the upper half spa…
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