Several natural Lp spaces of analytic functions have been widely studied in the past few
decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy …

This book covers Toeplitz operators, Hankel operators, and composition operators on both
the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis …

There has been a flurry of activity in recent years in the loosely defined area of holomorphic
spaces. This book discusses the most well-known and widely used spaces of holomorphic …

Riemann–Stieltjes integrals are considered as linear operators on weighted Bloch and
Bergman spaces of the open unit ball in several complex variables. For weighted Bloch …

Let f be an integrable function on the unit disk. The Hankel operator H f is densely defined
on the Bergman space A p by H fg= fg− P (fg), where g is a bounded analytic function and P …

Hankel operators with anti-holomorphic symbols are studied for a large class of weighted
Fock spaces on ℂ n. The weights defining these Hilbert spaces are radial and subject to a …

Abstract We study the Helton-Howe trace and the Connes-Chern character for Toeplitz
operators on weighted Bergman spaces via the idea of quantization. We prove a local …

The notion of group actions is a central idea in mathematics. The most important group in
complex analysis is probably the Möbius group of the unit disk D, denoted by M, which acts …

We give a survey on the Berezin transform and its applications in operator theory. The focus
is on the Bergman space of the unit disk and the Fock space of the complex plane. The …

Schatten class Hankel operators on exponential Bergman spaces | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …