(1)ESSENTIAL NORM OF COMPOSITION OPERATORS ON THE HARDY SPACEH AND THE WEIGHTED BERGMAN SPACES Aαp ON THE BALL STÉPHANE CHARPENTIER ABSTRACT

Rodríguez-Piazza, Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk, Math.. of the

In Section 4, we show that condition (1.2) is necessary and sufficient to get a Hilbert-Schmidt weighted composition operator, and we show that it is also necessary and sufficient

In [8] (see also [7]), we considered a more general setting and studied composition operators on Hardy-Orlicz spaces; we gave there a characterization of their compactness in terms

Key words and phrases: weighted composition operator, essential norm, Carleson measure, Hardy space.... will design the Haar measure

weighted Bergman spaces - Carleson measure - composition operator - Dirichlet series - essential norm - generalized Nevanlinna counting function..

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. Boundedness of composition op- erators on general weighted Hardy spaces of analytic functions.. Boundedness

The purpose of this paper is to investigate this problem for weighted Bergman-Orlicz spaces, that is to answer the question: does there exist some Orlicz function ψ such that

This class K L contains almost all fundamental operators (we refer the reader to [32] for the classical case L = − ∆) related to the Schr¨odinger operator