On the Hörmander's estimate

Published 29 Jan 2024 in math.CV | (2401.16573v2)

Abstract: The motivation of the note is to obtain a H\"{o}rmander-type $L^2$ estimate for $\bar\partial$ equation. The feature of the new estimate is that the constant is independent of the weight function. Moreover, our estimate can be used for non-plurisubharmonic weight function.

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Necessary and sufficient conditions for global regularity of the ∂̄-Neumann problem

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Bingyuan Liu

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