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We construct bounded linear integral operators that giving solutions to the $\bar{\partial}$-equation in $L^p$-spaces and with compact supports on a $q$-convex intersection ($q\geq1$) with $\mathcal{C}^3$ boundary in K\"ahler manifolds, and we apply it to obtain a Hartogs-like extension theorems for $\bar{\partial}$-closed forms for some bidegree.
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참고문헌 (24)
참고문헌 신청
O. Abdelkader / 2004 / Solutions to ${\bar{\partial}}$ -euations on stronly pseudo-convex domains with $L^{p}$ -estimates / Electron. J. Differential Equations 2004(73):1~9
O. Abdelkader / 2004 / Solutions to ${\bar{\partial}}$ -equations on strongly q-convex domains with $L^{p}$ -estimates / Int. J. Geom. Methods Mod. Phys. 1(6):739~749
E. Amar / 2014 / An Andreotti-Grauert theorem with $L^{r}$ estimates / arXiv: 1203.0759v7
E. Amar / 2014 / On $L^{r}$ hypoellipticity of solutions with compact support of the Cauchy-Riemann equation / Ann. Mat. Pura Appl. 193(4):999~1018
A. Andreotti / 1972 / E. E. Levi convexity and the Hans Lewy problem I: Reduction to vanishing theorems / Ann. Scuola Norm. Sup. Pisa (3) 26(2):325~363
O. Abdelkader / 2004 / Solutions to
E. Amar / 2014 / An Andreotti-Grauert theorem with
E. Amar / 2014 / On
A. Andreotti / 1972 / E. E. Levi convexity and the Hans Lewy problem I: Reduction to vanishing theorems / Ann. Scuola Norm. Sup. Pisa (3) 26(2):325~363
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