Year: 2025
Type: preprint
Abstract: We present a short proof of a version of the Ohsawa-Takegoshi-Manivel $L^2$ extension theorem as a corollary of a Skoda-type $L^2$ division theorem with bounded generators. The new division theorem is of independent interest: the boundedness of generators allows to send the parameter $α>1$ of the usual $L^2$ division theorems to 1 in the norm of the datum of the division. As an aside, we also use the new division theorem to prove a Briançon-Skoda-type result.
Source: arXiv (Cornell University)
Author: Albesiano, Roberto
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415084121
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