Semiglobal results for $\bar{\partial}_{b}$ on weakly convex hypersurfaces in $\mathbb{C}^{n}$
Vassiliadou, Sophia K.
Illinois J. Math., Tome 44 (2000) no. 4, p. 691-711 / Harvested from Project Euclid
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Let $M$ be a smoothly bounded weakly convex hypersurface in $\mathbb{C}^{n} (n \geq 4)$, $0 \in M$. Let $q \in \mathbb{N}$, $1 \leq q \le n-2$. We derive a homotopy formula for $\bar{\partial}_{b}$ without shrinking on certain submanifolds of $M$ (no finite type condition is assumed for $M$).
Publié le : 2000-12-15
Classification:  32W10,  32A26,  35N15 
@article{1255984688,
     author = {Vassiliadou, Sophia K.},
     title = {Semiglobal results for $\bar{\partial}\_{b}$ on weakly convex hypersurfaces in $\mathbb{C}^{n}$},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 691-711},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984688}
}

Vassiliadou, Sophia K. Semiglobal results for $\bar{\partial}_{b}$ on weakly convex hypersurfaces in $\mathbb{C}^{n}$. Illinois J. Math., Tome 44 (2000) no. 4, pp.  691-711. http://gdmltest.u-ga.fr/item/1255984688/