General Interpolating Sequences for the Bergman Spaces

On Some Properties of Analytic Spaces Connected with Bergman Metric Ball

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.

Double Integral Characterization for Bergman Spaces

‎In this paper we characterize Bergman spaces with‎ ‎respect to double integral of the functions $|f(z)‎ ‎-f(w)|/|z-w|$,‎ ‎$|f(z)‎ -‎f(w)|/rho(z,w)$ and $|f(z)‎ ‎-f(w)|/beta(z,w)$,‎ ‎where $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metrics‎. ‎We prove some necessary and sufficient conditions that implies a function to be...

Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev Spaces on Complex Balls

on the associated Bergman tree Tn. Combined with recent results about interpolating sequences this leads, for this range of σ, to a characterization of universal interpolating sequences for B 2 and also for its multiplier algebra. However, the tree condition is not necessary for a measure to be a Carleson measure for the Drury-Arveson Hardy space H n = B 1/2 2 . We show that μ is a Carleson mea...

A Carleson-type Condition for Interpolation in Bergman Spaces

An analogue of the notion of uniformly separated sequences, expressed in terms of canonical divisors, is shown to yield a necessary and sufficient condition for interpolation in the Bergman space Ap, 0 < p < ∞. A sequence Γ = {zj} of distinct points in the open unit disk D = {z : |z| < 1} of the complex plane is a classical interpolation sequence if for every bounded sequence {aj}, there is a b...