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- W2963669197 abstract "Let Y be a pure dimensional analytic variety in ℂ n with an isolated singularity at the origin such that the exceptional set X of a desingularization of Y is regular. The main objective of the present paper is to present a technique which allows us to determine obstructions to the solvability of the [Formula: see text] equation in the L 2 , respectively L ∞ , sense on Y* = Y{0} in terms of certain cohomology classes on X. More precisely, let Ω ⊂⊂ Y be a Stein domain with 0 ∈ Ω, Ω* = Ω{0}. We give a sufficient condition for the solvability of the [Formula: see text] equation in the L 2 -sense on Ω*; and in the L ∞ sense, if Ω is in addition strongly pseudoconvex. If Y is an irreducible cone, we also give some necessary conditions and obtain optimal Hölder estimates for solutions of the [Formula: see text] equation." @default.
- W2963669197 created "2019-07-30" @default.
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- W2963669197 date "2009-04-01" @default.
- W2963669197 modified "2023-09-23" @default.
- W2963669197 title "ABOUT THE $bar{partial}$-EQUATION AT ISOLATED SINGULARITIES WITH REGULAR EXCEPTIONAL SET" @default.
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- W2963669197 doi "https://doi.org/10.1142/s0129167x09005388" @default.
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