BOUNDED POINT EVALUATION IN C-N

Authors
RANGE RM STESSIN MI
Citation
Rm. Range et Mi. Stessin, BOUNDED POINT EVALUATION IN C-N, Transactions of the American Mathematical Society, 347(6), 1995, pp. 2169-2177
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
6
Year of publication
1995
Pages
2169 - 2177
Database
ISI
SICI code
0002-9947(1995)347:6<2169:BPEIC>2.0.ZU;2-Y
Abstract
A positive Borel measure mu on a domain Omega subset of C-n is said to be in R(Omega), if point evaluations at every p is an element of Omeg a are locally uniformly bounded in L(2)(mu)-norm. It is proved that th e multiplication of a measure in R(Omega) by a function decreasing no faster than a power of a holomorphic function produces a measure in R( Omega). Some applications to classical Hardy and Bergman spaces are gi ven.