Weighted spaces of holomorphic functions on the upper halfplane

Authors

  • Mohammad Ali Ardalani
  • Wolfgang Lusky

DOI:

https://doi.org/10.7146/math.scand.a-15226

Abstract

We discuss weighted spaces Hv(G) of holomorphic functions on the upper halfplane G where v(w)=v(iImw), wG, limt0v(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.

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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

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Section

Articles