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 …

We study operators of the form T_g(f)(z)=∫^z_0f(ς)g'(ς)dς, on weighted Bergman spaces
L^p_a(w) of the unit disc. For a large class of weights we show that Tg is bounded on …

Abstract Let $ B\sb {p}\(1< p<\infty) $ be a Besov space and ${\cal B} $ the Bloch space. We
give Carleson type measure characterizations for compact composition operators $ C\sb …

This revised and extended edition of a well-established monograph in function theory
contains a study on various function classes on the disc, a number of new results and new or …

We give a Carleson measure characterization of the compact composition operators on
Besov spaces. We use this characterization to show that every compact composition …

We will characterize the boundedness and compactness of the composition operators on
weighted Bloch space B_\log={f∈H(D):z∈D(1-\left|z\right|^2)\left(\log21 …

Let D be the unit disc in the complex plane. Given a positive finite Borel measure μ on the
radius [0, 1), we let μ n denote the n-th moment of μ and we deal with the action on spaces of …

If μ is a positive Borel measure on the interval [0, 1), we let H μ be the Hankel matrix H μ=(μ
n, k) n, k≥ 0 with entries μ n, k= μ n+ k, where, for n= 0, 1, 2,…, μ n denotes the moment of …

The family of spaces F (p, q, s) was introduced by the author in 1996. Since then, there has
been great development in the theory of these spaces, due to the fact that these spaces …