Estimates for \(\bar{\partial}\) and optimal constants. (English) Zbl 1337.32052
Fornæss, John Erik (ed.) et al., Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Cham: Springer (ISBN 978-3-319-20336-2/hbk; 978-3-319-20337-9/ebook). Abel Symposia 10, 45-50 (2015).
Summary: We discuss some recently obtained \(\bar{\partial}\)-estimates and their relations to the classical ones, as well as to the Ohsawa-Takegoshi extension theorem. We also show that the constants obtained earlier in estimates due to Donnelly-Fefferman and Berndtsson are optimal.
For the entire collection see [Zbl 1336.32001].
For the entire collection see [Zbl 1336.32001].
MSC:
| 32W05 | \(\overline\partial\) and \(\overline\partial\)-Neumann operators |
| 32D15 | Continuation of analytic objects in several complex variables |
Keywords:
\(\bar{\partial}\)-equation; plurisubharmonic functions; Ohsawa-Takegoshi extension theoremReferences:
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