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20112025
most citedOn some extremal problems in spaces of harmonic functions

6 citations · 13 across the 20 of their papers we have counts for

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Showing 2011Show all

9 papers · 1 filter

math.FA2011★ 1 cited

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…

math.FA2011

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…

math.FA2011★ 1 cited

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…

math.CV2011

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

math.CV2011★ 6 cited

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

math.CV2011

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

math.CV2011

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

math.CV2011

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…

math.CV2011★ 2 cited

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 .