Journal article

Compact operators on the Bergman space of multiply-connected domains

R Raimondo

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | AMER MATHEMATICAL SOC | Published : 2001

Abstract

If Ω is a smoothly bounded multiply-connected domain in the complex plane and A = ∑j=1m= ∏k=1 Tφj,k, where φj,k ∈ L∞(Ω, dv) we show that A is compact if and only if its Berezin transform vanishes at the boundary. © 2000 American Mathematical Society.

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