Haridas, Pranav ; Verma, Kaushal (2015) Quadrature domains in ℂn Computational Methods and Function Theory, 15 (1). pp. 125-141. ISSN 1617-9447
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Official URL: https://link.springer.com/article/10.1007/s40315-0...
Related URL: http://dx.doi.org/10.1007/s40315-014-0090-y
Abstract
We prove two density theorems for quadrature domains in ℂn, n ≥ 2. It is shown that quadrature domains are dense in the class of all product domains of the form D × Ω, where D ℂ Cn-1 is a smoothly bounded domain satisfying Bell's Condition R and Ω ⊂ ℂ is a smoothly bounded domain and also in the class of all smoothly bounded complete Hartogs domains in ℂ2.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Quadrature Domains; Condition R; Bergman Kernel |
| ID Code: | 108083 |
| Deposited On: | 01 Feb 2018 11:28 |
| Last Modified: | 01 Feb 2018 11:28 |
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