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Search Results: 1 - 10 of 69 matches for " Romi Shamoyan "
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On an extremal problem in two Siegel domains
Romi Shamoyan
Mathematics , 2012,
Abstract: We provide sharp new estimates for distance function in a Siegel domain of first and of second type
A note on inequalities in multifunctional analytic spaces.
Songxiao Li,Romi Shamoyan
Albanian Journal of Mathematics , 2008,
Abstract: A general method“weighted method” will be presented which allowsto extend various inequalities for one function case to inequalities formultifunctional case in the unit disk, unit ball and polydisk.
ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL
ROMI SHAMOYAN, HAIYING LI
Journal of Mathematical Analysis , 2010,
Abstract: We will present an approach to deal with a problem of existenceof (not) weakly invertible functions in various spaces of analytic functions inthe unit ball and polydisk based on estimates for integral operators actingbetween functional classes of dierent dimensions.
On some extremal problems in spaces of harmonic functions
Milos Arsenovic,Romi Shamoyan
Mathematics , 2011,
Abstract: We give solutions to some extremal problems involving distance function in mixed norm spaces of harmonic functions on the unit ball of R^n
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
Romi Shamoyan Milos Arsenovic
Mathematics , 2011,
Abstract: 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 pseudoconvex domains with smooth boundary
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Romi Shamoyan Haiying Li
Mathematics , 2011,
Abstract: 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
On several new results on p-Carleson measures and related measures in the unit disk
Romi Shamoyan,Ali Abkar
Mathematics , 2011,
Abstract: 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 certain harmonic function spaces of several variables related to mixed norm spaces
Romi F. Shamoyan
Mathematics , 2012,
Abstract: We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ball and upperhalfspace.
On an extremal problem in analytic function spaces in tube domains over symmetric cones
Romi F. Shamoyan
Mathematics , 2012,
Abstract: 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 in tube domains over symmetric cones.
On multipliers of mixed-norm analytic F^{p,q} type spaces on the unit polydisk
Romi Shamoyan,Milos Arsenovic
Mathematics , 2012,
Abstract: We describe certain new spaces of coefficient multipliers of analytic Lizorkin-Triebel $F^{p,q}_{\alpha}$ type spaces in the unit polydisk with some restrictions on parameters.This extends some previously known assertions on coefficient multipliers in classical Bergman type spaces in the unit disk.
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