We obtain local estimates, also called propagation of smallness or Remez-type inequalities,
for analytic functions in several variables. Using Carleman estimates, we obtain a three …

Using several complex variables techniques, we investigate the interplay between the
geometry of the boundary and compactness of Hankel operators. Let β be a function smooth …

We prove some sharp extremal distance results for functions in various spaces of analytic
functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain …

Consider a bounded, strongly pseudoconvex domain D⊂ C n with minimal smoothness
(namely, the class C 2) and let b be a locally integrable function on D. We characterize …

Let D be a strongly pseudoconvex domain in C" with the strictly plurisubharmonic defining
function p.(That is D={z: p (z)< 0}.) Let 6 denote the Bergman distance function on D. Let dV …

arxiv:1310.3554v3 [math.FA] 7 Jan 2015 Page 1 arxiv:1310.3554v3 [math.FA] 7 Jan 2015
MULTIPLICATION OPERATORS ON THE BERGMAN SPACES OF PSEUDOCONVEX DOMAINS …

Abstract For 0< p 1≤ p 2<∞ and min {α 1, α 2}>-1, we give estimates of the essential norm
of Toeplitz operator T μ β acting from the Bergman space A α 1 p 1 (Ω) to A α 2 p 2 (Ω) for a …

Consider a bounded strongly pseudo-convex domain Ω with smooth boundary in C n. Let T
be the Toeplitz algebra on the Bergman space L a 2 (Ω). That is, T is the C⁎-algebra …

In this paper, we show that under a mild condition, a principal submodule of the Bergman
module on a bounded strongly pseudoconvex domain with smooth boundary in C n is p …

The characterization of those f for which the Hankel operators H f belongs to various trace
ideals over Bergman spaces on pseudoconvex domains of finite type in complex dimension …