Q(p)-spaces on bounded symmetric domains

0343872 - MÚ 2011 RIV IN eng J - Journal Article
Arazy, J. - Engliš, Miroslav
Q(p)-spaces on bounded symmetric domains.
Journal of Function Spaces and Applications. Roč. 6, č. 3 (2008), s. 205-240. ISSN 2090-8997. E-ISSN 0972-6802
R&D Projects: GA AV ČR IAA1019304
Institutional research plan: CEZ:AV0Z10190503
Keywords : bounded symmetric domain * invariant differential operator * Bloch space * composition series
Subject RIV: BA - General Mathematics

We generalize the theory of Q(p) spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in C-d, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.
Permanent Link: http://hdl.handle.net/11104/0186247