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 …

The known duality of the space of Bloch complex-valued functions on the open complex unit
disc $\mathbb {D} $ is addressed under a new approach with the introduction of the …

The notion of p-summing Bloch mapping from the complex unit open disc D into a complex
Banach space X is introduced for any 1≤ p≤∞. It is shown that the linear space of such …

Discretizations of Integral Operators and Atomic Decompositions in Vector-Valued Weighted
Bergman Spaces Page 1 Integr. equ. oper. theory 59 (2007), 523–554 c© 2007 Birkhäuser …

In this article, we study the boundedness of weighted composition operators between
different vector-valued Dirichlet spaces. Some sufficient and necessary conditions for such …

WEIGHTED COMPOSITION OPERATORS ON WEAK VECTOR-VALUED BERGMAN
SPACES AND HARDY SPACES 1. Introduction Let D be the open unit disk Page 1 Banach J …

In this paper, we completely characterize the boundedness of difference of weighted
composition operators between weak and strong vector-valued Bergman spaces in three …

This paper contains a little extended writting of the lectures that I gave at the Department of
Mathematics of the Joensuu University during the summer school hold in May 2003. These …

It is proved that the inequality δX (ε)⩾ cεp, p⩾ 2, where δX is the modulus of convexity of X, is
sufficient and necessary for the inequality where f is an X-valued harmonic function …

Abstract Let $\psi_1 $ and $\psi_2 $ be analytic functions on the open unit disk $\mathbb {D}
$ and $\phi $ an analytic self map on $\mathbb {D} $. Let $ M_\psi $, $ C_\phi $ and $ D …