Journal of the Australian Mathematical Society - Series A Vol. 65 Part 1 (1998) Integral means on radially weighted spaces of analytic functions Mats Erik Andersson Department of Mathematics Kungliga Tekniska Högskolan Lindstedtsvägen 25 S-100 44 Stockholm Sweden e-mail: matsa@math.kth.se Current address: Department of Mathematics University of Stockholm S-106 91 Stockholm Sweden e-mail: mats.andersson@matematik.su.se Abstract: Hilbert spaces of analytic functions generated by rotationally symmetric measures on disks and annuli are studied. A domination relation between function norm and weighted sums of integral means on circles is developed. The function norm and the weighted sum take the same value for a specified class of polynomials. This class can be varied according to two parameters. Parts of the construction carry over to other Banach spaces of analytic or harmonic functions. Counterexamples illuminating properties of the complex method of interpolation appear as a byproduct. PDF file size: 103K © Copyright 1998, Australian Mathematical Society