Weighted spaces of holomorphic functions on the upper halfplane
DOI:
https://doi.org/10.7146/math.scand.a-15226Abstract
We discuss weighted spaces Hv(G) of holomorphic functions on the upper halfplane G where v(w)=v(iImw), w∈G, limt→0v(it)=0 and v(it) is increasing in t. We characterize those weights v with moderate growth where Hv(G) is isomorphic to l∞ and we show that this is never the case if v is bounded.Downloads
Published
2012-12-01
How to Cite
Ardalani, M. A., & Lusky, W. (2012). Weighted spaces of holomorphic functions on the upper halfplane. MATHEMATICA SCANDINAVICA, 111(2), 244–260. https://doi.org/10.7146/math.scand.a-15226
Issue
Section
Articles