Abstract
We present an $L^2$-extension theorem with an estimate depending on the weight functions for domains in $\mathbb{C}$. When the Hartogs domain defined by the weight function is strictly pseudoconvex, this estimate is strictly sharper than known optimal estimates. When the weight function is radial, we prove that our estimate provides the $L^2$-minimum extension.
Funding Statement
The author is supported by Program for Leading Graduate Schools, MEXT, Japan. He is also supported by the Grant-in-Aid for Scientific Research (KAKENHI No.15J08115).
Citation
Genki HOSONO. "On sharper estimates of Ohsawa–Takegoshi $L^2$-extension theorem." J. Math. Soc. Japan 71 (3) 909 - 914, July, 2019. https://doi.org/10.2969/jmsj/80018001
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