On some characterizations of Carleson type measure in the unit ball.
On some new embedding theorems for some analytic classes in the unit ball.
Some new estimates for distances in analytic function spaces of several complex variables and double Bergman representation formula.
A note on new estimates for distances in analytic function spaces.
On some properties of a differential operator on the polydisk.
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.
On some properties of holomorphic spaces based on Bergman metric ball and Luzin area operator.
On some problems connected with diagonal map in some spaces of analytic functions
For any holomorphic function on the unit polydisk we consider its restriction to the diagonal, i.e., the function in the unit disc defined by , and prove that the diagonal map maps the space of the polydisk onto the space of the unit disk.
Some remarks on strong factorization of tent spaces
We provide new assertions on factorization of tent spaces.
Area Nevanlinna type classes of analytic functions in the unit disk and related spaces
The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concerning zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.
On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk.
On some new sharp embedding theorems in minimal and pseudoconvex domains
We present new sharp embedding theorems for mixed-norm analytic spaces in pseudoconvex domains with smooth boundary. New related sharp results in minimal bounded homogeneous domains in higher dimension are also provided. Last domains we consider are domains which are direct generalizations of the well-studied so-called bounded symmetric domains in Our results were known before only in the very particular case of domains of such type in the unit ball. As in the unit ball case, all our proofs are...
On some extremal problems in Bergman spaces in weakly pseudoconvex domains
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.
On some new sharp estimates in analytic Herz-type function spaces in tubular domains over symmetric cones
We obtain new sharp embedding theorems for mixed-norm Herz-type analytic spaces in tubular domains over symmetric cones. These results enlarge the list of recent sharp theorems in analytic spaces obtained by Nana and Sehba (2015).
On some new theorems on certain analytic and meromorphic classes of Nevanlinna type on the complex plane
Descriptions of zero sets and parametric representations of certain analytic area Nevanlinna type classes in the unit disk
On embeddings, traces and multipliers in harmonic function spaces
Trace theorems in harmonic function spaces on , multipliers theorems and related problems
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