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- W4205655270 abstract "Hosono obtained sharper estimates of the Ohsawa–Takegoshi $$L^2$$ -extension theorem by allowing the constant depending on the weight function for a domain in $${mathbb {C}}$$ . In this article, we show the higher dimensional case of sharper estimates of the Ohsawa–Takegoshi $$L^2$$ -extension theorem. To prove the higher dimensional case of them, we establish an analogue of Berndtsson–Lempert type $$L^2$$ -extension theorem by using the pluricomplex Green functions with poles along subvarieties. As a special case, we consider the sharper estimates in terms of the Azukawa pseudometric and show that the higher dimensional case of sharper estimate provides the $$L^2$$ -minimum extension for radial case." @default.
- W4205655270 created "2022-01-25" @default.
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- W4205655270 date "2022-01-18" @default.
- W4205655270 modified "2023-09-28" @default.
- W4205655270 title "On sharper estimates of Ohsawa–Takegoshi $$L^2$$-extension theorem in higher dimensional case" @default.
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- W4205655270 doi "https://doi.org/10.1007/s00229-021-01366-8" @default.
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