caa a22 4500 397533217 CHVBK 20180308164657.0 cr unu---uuuuu 161202e199504 xx s 000 0 eng 10.1112/jlms/51.2.309 doi (NATIONALLICENCE)oxford-10.1112/jlms/51.2.309 Lusky Wolfgang Fachbereich 17, Universität-Gesamthochschule Warburger Straße 100, D-33098 Paderborn, Germany On Weighted Spaces of Harmonic and Holomorphic Functions [Elektronische Daten] [Wolfgang Lusky] Weighed spaces of harmonic and holomorphic functions on the unit disc are studied. We show that for all radial weights which are not decreasing too fast the space of harmonic functions is isomorphic to c0. For the weights that we consider we completely characterize those spaces of holomorphic functions which are isomorphic to c0. Moreover, we determine when the Riesz projection, mapping the weighted space of harmonic functions onto the corresponding space of holomorphic functions, is bounded. © The London Mathematical Society Notes and Papers nationallicence Journal of the London Mathematical Society Oxford University Press 51/2(1995-04), 309-320 0024-6107 51:2<309 1995 51 jlms https://doi.org/10.1112/jlms/51.2.309 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1112/jlms/51.2.309 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lusky Wolfgang Fachbereich 17, Universität-Gesamthochschule Warburger Straße 100, D-33098 Paderborn, Germany NATIONALLICENCE 773 0- Journal of the London Mathematical Society Oxford University Press 51/2(1995-04), 309-320 0024-6107 51:2<309 1995 51 jlms Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence SWISSBIB 397533217 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford