Weighted spaces of holomorphic functions on the upper halfplane

• Autores: Mohammad Ali Ardalani, Wolfgang Lusky
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 2, 2012, págs. 244-260
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15226
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• Resumen

  • 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.