Uniform approximation of holomorphic functions on bounded hartogs domains in ℂ2
✍ Scribed by David E. Barrett; John Erik Fornæss
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- French
- Weight
- 657 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Let D be a bounded homogeneous domain in C n . (Note that D is not assumed to be Hermitian-symmetric.) In this work we are interested in studying various classes of ``harmonic'' functions on D and the possibility of representing them as ``Poisson integrals'' over the Bergman-Shilov boundary. One suc
Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th