On an $$L^2$$ extension theorem from log-canonical centres with log-canonical measures
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02890-9
Abstract: With a view to prove an Ohsawa-Takegoshi type $L^2$ extension theorem with $L^2$ estimates given with respect to the log-canonical (lc) measures, a sequence of measures each supported on lc centres of specific codimension defined… read more here.
Keywords: canonical measures; canonical centres; centres log; extension theorem ... See more keywords
On an extension of a theorem of Eilenberg and a characterization of topological connectedness
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DOI: 10.1016/j.topol.2020.107117
Abstract: On taking a non-trivial and semi-transitive bi-relation constituted by two (hard and soft) binary relations, we report a (i) p-continuity assumption that guarantees the completeness and transitivity of its soft part, and a (ii) characterization… read more here.
Keywords: eilenberg characterization; theorem eilenberg; characterization; extension theorem ... See more keywords
ON THE OPTIMAL EXTENSION THEOREM AND A QUESTION OF OHSAWA
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DOI: 10.1017/nmj.2020.34
Abstract: In this paper, we present a version of Guan-Zhou’s optimal $L^{2}$ extension theorem and its application. As a main application, we show that under a natural condition, the question posed by Ohsawa in his series… read more here.
Keywords: question; extension; theorem question; optimal extension ... See more keywords
L 2 extension theorem for jets with variable denominators
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DOI: 10.5802/crmath.167
Abstract: By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. Popovici for the L2 extension theorem for jets. As a direct corollary, we also give a generalization of T.… read more here.
Keywords: variable denominators; theorem jets; extension theorem; jets variable ... See more keywords