INTEGRAL MEANS ON RADIALLY WEIGHTED SPACES OF ANALYTIC-FUNCTIONS

Authors
ANDERSSON ME
Citation
Me. Andersson, INTEGRAL MEANS ON RADIALLY WEIGHTED SPACES OF ANALYTIC-FUNCTIONS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 65, 1998, pp. 68-83
Citations number
9
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
65
Year of publication
1998
Part
1
Pages
68 - 83
Database
ISI
SICI code
0263-6115(1998)65:<68:IMORWS>2.0.ZU;2-7
Abstract
Hilbert spaces of analytic functions generated by rotationally symmetr ic measures on disks and annuli are studied. A domination relation bet ween function norm and weighted sums of integral means on circles is d eveloped. The function norm and the weighted sum take the same value f or a specified class of polynomials. This class can be varied accordin g to two parameters. Parts of the construction carry over to other Ban ach spaces of analytic or harmonic functions. Counterexamples illumina ting properties of the complex method of interpolation appear as a byp roduct.