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- Title
On the Dimension of the Bergman Space of Some Hartogs Domains with Higher Dimensional Bases.
- Authors
Boudreaux, Blake J.
- Abstract
Let D be a Hartogs domain of the form D = D φ (G) = { (z , w) ∈ G × C N : ‖ w ‖ < e - φ (z) } , where φ is a plurisubharmonic function on G and G ⊆ C M is a pseudoconvex domain. We expand on the results of Jucha (J Geom Anal 22(1):23–37, 2012) and prove the infinite-dimensionality or triviality of the space of square integrable holomorphic functions on D φ (G) for various choices of φ and G.
- Publication
Journal of Geometric Analysis, 2021, Vol 31, Issue 8, p7885
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-020-00557-1