caa a22 4500 388046511 CHVBK 20180307125040.0 cr unu---uuuuu 161130e199808 xx s 000 0 eng 10.1017/S1446788700039409 doi S1446788700039409 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700039409 Andersson Mats Erik Department of Mathematics, Kungliga Tekniska Högskolan, Lindstedtsvägen 25, S -100 44 Stockholm, Sweden e-mail: matsa@math. kth.se Integral means on radially weighted spaces of analytic functions [Elektronische Daten] [Mats Erik Andersson] 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 of harmonic functions. Counterexamples illuminating properties of the complex method of interpolation appear as a byproduct. Copyright © Australian Mathematical Society 1998 primary 30H05 nationallicence secondary 30E05 nationallicence 46B70 nationallicence Bergman spces nationallicence interpolating polynomials nationallicence Guass-Jacobi quadrature nationallicence moment sequence nationallicence complex method of interpolation nationallicence Journal of the Australian Mathematical Society Cambridge University Press 65/1(1998-08), 68-83 1446-7887 65:1<68 1998 65 JAZ https://doi.org/10.1017/S1446788700039409 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700039409 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Andersson Mats Erik Department of Mathematics, Kungliga Tekniska Högskolan, Lindstedtsvägen 25, S -100 44 Stockholm, Sweden e-mail: matsa@math. kth.se NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 65/1(1998-08), 68-83 1446-7887 65:1<68 1998 65 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge