Inclusion Relations for New Function Spaces on Riemann Surfaces

Canadian mathematical bulletin

Rauno Aulaskari¹  Jouni Rättyä¹ 

[1] University of Eastern Finland, Department of Physics and Mathematics, 80101 Joensuu, Finland

关键词: Bloch space;    BMOA;    $Q_p$;    Green's function;    hyperbolic Riemann surface;   

DOI  :  10.4153/CMB-2012-005-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We introduce and study some new function spaces on Riemannsurfaces. For certain parameter values these spaces coincide withthe classical Dirichlet space, BMOA or the recentlydefined $Q_p$ space. We establish inclusion relations that generalize earlier known inclusions between the above-mentionedspaces.

【 授权许可】

Unknown