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https://research.matf.bg.ac.rs/handle/123456789/402
Title: | Bergman spaces on the complement of a lattice | Authors: | Arsenović, Miloš Kečkić, Dragoljub |
Affiliations: | Mathematical Analysis Mathematical Analysis |
Issue Date: | 1-Nov-2003 | Journal: | Archiv der Mathematik | Abstract: | We investigate Bergman spaces Bp (Ω), where Ω = C / (Z + iZ) and show that Bp = {0} for p ≥ 2 and {0} ≠ B q ⊂ Bp for 2/(n + 1) ≤ q < p < 2/n. Further, for each 0 < p < 2 there is a non-trivial f ∈ Bp tending to zero at infinity at any prescribed rate. We also give conditions on the Mittag-Leffler expansion of f necessary for f ∈ Bp. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/402 | ISSN: | 0003889X | DOI: | 10.1007/s00013-003-4699-8 |
Appears in Collections: | Research outputs |
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