MULTIPLIERS ON SPACES OF ANALYTIC-FUNCTIONS

Authors
BLASCO O
Citation
O. Blasco, MULTIPLIERS ON SPACES OF ANALYTIC-FUNCTIONS, Canadian journal of mathematics, 47(1), 1995, pp. 44-64
Citations number
35
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
47
Issue
1
Year of publication
1995
Pages
44 - 64
Database
ISI
SICI code
0008-414X(1995)47:1<44:MOSOA>2.0.ZU;2-Z
Abstract
In the paper we find, for certain values of the parameters, the spaces of multipliers (H(p, q, alpha), H(s, t, beta)) and (H(p, q, alpha), l (s)), where H(p, q, alpha) denotes the space of analytic functions on the unit disc such that (1-r)(alpha)M(p)(f, r) is an element of L(q)(d r/1-r). As corollaries we recover some new results about multipliers o n Bergman spaces and Hardy spaces.