POINTWISE MULTIPLIERS AND CORONA TYPE DECOMPOSITION IN BMOA

Authors
ORTEGA JM FABREGA J
Citation
Jm. Ortega et J. Fabrega, POINTWISE MULTIPLIERS AND CORONA TYPE DECOMPOSITION IN BMOA, Annales de l'Institut Fourier, 46(1), 1996, pp. 111
Citations number
32
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales de l'Institut Fourier → ACNP
ISSN journal
03730956
Volume
46
Issue
1
Year of publication
1996
Database
ISI
SICI code
0373-0956(1996)46:1<111:PMACTD>2.0.ZU;2-M
Abstract
In this paper we obtain several characterizations of the pointwise mul tipliers of the space BMOA in the unit ball B of C-n. Moreover, if g(1 ),...,g(m) are holomorphic functions on B, we prove that Mg(f)(z) = [G RAPHICS] g(j)(z)f(j)(z) maps BMOA x...x BMOA onto BMOA if and only if the functions g(j) are multipliers of the space BMOA and satisfy [GRAP HICS] \g(j)(z)\ greater than or equal to delta > 0.