On an extremal problem in two Siegel domains
We provide sharp new estimates for distance function in a Siegel domain of first and of second type
math.FA↗
arXiv subjects
Romi Shamoyan
Publications and source records attributed to Romi Shamoyan.
On multipliers of mixed-norm analytic F^{p,q} type spaces on the unit polydisk
We describe certain new spaces of coefficient multipliers of analytic Lizorkin-Triebel $F^{p,q}_α$ 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.
math.CV↗
A note on Fefferman-Stein type characterizations for certain spaces of analytic functions in the unit disk
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 Fefferman and Stein for HArdy spaces in R^n.
math.CV↗
On several new results on p-Carleson measures and related measures in the unit disk
We provide some new sharp embeddings for p-Carleson and related measures in the unit disk of the complex plane
math.CV↗
On multipliers of spaces of harmonic functions of the unit ball in R^n
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 spaces of harmonic functions in the unit ball of R^n
math.FA↗
Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones
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 sharp embedding relations between the generalized Hilbert-HArdy spaces and the mixed norm Bergman spaces in this setting.
math.CV↗
On some extremal problems in spaces of harmonic functions
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.CV↗
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
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.CV↗
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
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
math.CV↗