THE DEGREE OF HOLOMORPHIC APPROXIMATION ON A TOTALLY REAL SET

DOI10.1017/S0004972708001226zbMath1162.32005MaRDI QIDQ3619866

Saïd Asserda

Publication date: 9 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

degree of approximationtotally real set\(\overline \partial \) operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

• Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• Sharp dimension estimates of holomorphic functions and rigidity

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