On mixed norm Bergman–Orlicz–Morrey spaces

On mixed norm Bergman–Orlicz–Morrey spaces AbstractFollowing the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with the case where the sequence of norms of Fourier coefficients in the Orlicz–Morrey space in radial variable belongs to lq{l^{q}}. We study the boundedness of the Bergman projection and provide a description of functions in these spaces via the behavior of their Taylor coefficients. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On mixed norm Bergman–Orlicz–Morrey spaces

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Publisher
De Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
D.O.I.
10.1515/gmj-2018-0027
Publisher site
See Article on Publisher Site

Abstract

AbstractFollowing the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with the case where the sequence of norms of Fourier coefficients in the Orlicz–Morrey space in radial variable belongs to lq{l^{q}}. We study the boundedness of the Bergman projection and provide a description of functions in these spaces via the behavior of their Taylor coefficients.

Journal

Georgian Mathematical Journalde Gruyter

Published: Jun 1, 2018

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