Extension of holomorphic L2-functions with weighted growth conditions
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Publication:4029171
DOI10.1017/S0027763000004037zbMath0759.32002MaRDI QIDQ4029171
Klas Diederich, Gregor Herbort
Publication date: 7 March 1993
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
plurisubharmonic weight functionsa priori estimates for \(\overline\partial\)Bochner-Nakano-type formulauniform pseudoconvex extendability
Boundary behavior of holomorphic functions of several complex variables (32A40) Holomorphic functions of several complex variables (32A10) Pseudoconvex domains (32T99)
Related Items
Extension and restriction of holomorphic functions ⋮ Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains ⋮ A Survey on L 2 Extension Problem ⋮ On the parameter dependence of solutions to the \(\bar\partial\)-equation ⋮ The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman ⋮ Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation ⋮ \(L^{2}\)-estimates on weakly \(q\)-convex domains ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
Cites Work
- On the extension of \(L^ 2\) holomorphic functions
- Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains
- The Bergman kernel on uniformly extendable pseudoconvex domains
- Extension of holomorphic functions with growth conditions
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Pseudoconvex domains with real-analytic boundary
- Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary
- Carleman estimates for the Laplace-Beltrami equation on complex manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
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