Boundary behaviour of holomorphic functions of bounded type

Authors
Bourhim, A El Fallah, O Kellay, K
Citation
A. Bourhim et al., Boundary behaviour of holomorphic functions of bounded type, CR AC S I, 333(6), 2001, pp. 529-532
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
333
Issue
6
Year of publication
2001
Pages
529 - 532
Database
ISI
SICI code
0764-4442(20010915)333:6<529:BBOHFO>2.0.ZU;2-0
Abstract
We consider a function f of Nevanlinna class such that its radial limit f(* ) is square summable on the unit circle T. We give a growth condition on th e Taylor coefficients of f and the rate of decrease of the negatively index ed Fourier coefficients of f(*) in order that f must belong to the Hardy cl ass H-2 (C). C 2001 Academie des sciences/Editions scientifiques et medical es Elsevier SAS.