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• W2002513778 abstract "In order to have estimates on the solutions of the equation $$bar{partial }u=omega $$ on a Stein manifold, we introduce a new method, the “raising steps method”, to get global results from local ones. In particular, it allows us to transfer results from open sets in $${mathbb {C}}^{n}$$ to open sets in a Stein manifold. Using it, we get $$displaystyle L^{r}-L^{s}$$ results for solutions of the equation $$bar{partial }u=omega $$ with a gain, $$displaystyle s>r$$ , in strictly pseudo convex domains in Stein manifolds. We also get $$displaystyle L^{r}-L^{s}$$ results for domains in $${mathbb {C}}^{n}$$ locally biholomorphic to convex domains of finite type." @default.
• W2002513778 created "2016-06-24" @default.
• W2002513778 creator A5052189790 @default.
• W2002513778 date "2015-02-03" @default.
• W2002513778 modified "2023-09-23" @default.
• W2002513778 title "The Raising Steps Method: Applications to the $$bar{partial }$$ ∂ ¯ Equation in Stein Manifolds" @default.
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• W2002513778 doi "https://doi.org/10.1007/s12220-015-9576-8" @default.
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