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 …

Preliminary Text. Do not use. 15 years ago the function theory and operator theory
connected with the Hardy spaces was well understood (zeros; factorization; interpolation; …

We will see later that the above condition for an analytic function to be in# Q) o is equivalent
to the condition that (1-'z'2) af'(z) extends continuously to the boundary of the unit disk. This …

This unique book is devoted to the detailed study of the recently discovered commutative C*-
algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key …

Pointwise multipliers and corona type decomposition in BMOA Page 1 ANNALES DE L’INSTITUT
FOURIER JM ORTEGA JOAN FÀBREGA Pointwise multipliers and corona type …

We characterise bounded and compact weighted composition operators on the Bloch space
and the little Bloch space. The results generalise the known corresponding results on …

The paper defines an extended Cesàro operator T g with holomorphic symbol g in the unit
ball B of C n as T g (f)(z)=∫ 0 1 f (tz) ℜ g (tz) dtt, f∈ H (B), z∈ B. Where ℜ g (z)=∑ zj∂ g∂ zj …

Let μ be a nonnegative Borel measure on the open unit disk D⊂ C. This note shows how to
decide that the Möbius invariant space Qp, covering BMOA and B, is boundedly (resp …

We give estimates of the essential norms of the weighted composition operators uCφ
between different Bloch type spaces in terms of the n-th power of φ. We also give similar …