14 research outputs found
On the Wu metric in unbounded domains
We discuss the properties of the Wu pseudometric and present counterexamples
for its upper semicontinuity that answers the question posed by Jarnicki and
Pflug. We also give formulae for the Wu pseudometric in elementary Reinhardt
domains.Comment: 11 page
A remark on the dimension of the Bergman space of some Hartogs domains
Let D be a Hartogs domain of the form D={(z,w) \in CxC^N : |w| < e^{-u(z)}}
where u is a subharmonic function on C. We prove that the Bergman space of
holomorphic and square integrable functions on D is either trivial or infinite
dimensional.Comment: 12 page
Społeczno-ekonomiczne i przestrzenne przemiany struktur regionalnych Vol. 2
Praca recenzowana / peer-reviewed pape