A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
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Publication:2349043
DOI10.4007/ANNALS.2015.181.3.6zbMATH Open1348.32008arXiv1310.7169OpenAlexW2963227726MaRDI QIDQ2349043
Author name not available (Why is that?)
Publication date: 16 June 2015
Published in: (Search for Journal in Brave)
Abstract: In this paper, we prove an extension theorem with optimal estimate in a precise way, which implies optimal estimate versions of various well-known extension theorems. As applications, we give proofs of a conjecture of Suita on the equality condition in Suita's conjecture, the so-called conjecture, and the extended Suita conjecture. As other applications, we give affirmative answer to a question by Ohsawa about limiting case for the extension operators between the weighted Bergman spaces, and we present a relation of our result to Berndtsson's important result on log-plurisubharmonicity of Bergman kernel.
Full work available at URL: https://arxiv.org/abs/1310.7169
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