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Convolution Regularization Preserves the $L^2$-Estimate Property for $(1,n)$-Forms

Liu, Zhuo
arXiv (All) · Papers
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complex-variables
In this paper, we prove that the \(L^2\)-estimate property for \((1,n)\)-forms is preserved under the standard convolution regularization. As applications, we show that any singular Hermitian metric satisfying the optimal or multiple coarse \(L^2\)-estimate property for \((n,1)\) or \((1,n)\)-forms
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