Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems

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 obtained.Sharp theorems on multipliers acting on certain Sobolev type spaces of harmonic functions on the unit ball are also obtainedComment: 17 page

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 boundar

On Embeddings,Traces and Multipliers in harmonic function spaces

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 space.We obtain sharp new assertions on embeddings,distances and traces for various spaces of harmonic functions New sharp theorems on multipliers for harmonic function spaces in the unit ball are also presented .Comment: 17 page

On some new theorems on multipliers in harmonic function spaces in higher dimension II

We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of $R^n$Comment: 16 page

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.Comment: 5 page

Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension

We present new sharp results concerning multipliers and distance estimates in various spaces of harmonic functions in the unit ball of $R^n$.Comment: 15 page

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 typeComment: arXiv admin note: text overlap with arXiv:1205.332

On an extremal problem in analytic function spaces in tube domains over symmetric cones

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 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 planeComment: 7 page

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.Comment: 16 page