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- W2068052140 abstract "We consider a domain Ω with Lipschitz boundary, which is relatively compact in an n-dimensional Kähler manifold and satisfies some “logδ-pseudoconvexity” condition. We show that the $bar partial $ -equation with exact support in ω admits a solution in bidegrees (p, q), 1≤q≤n−1. Moreover, the range of $bar partial $ acting on smooth (p, n−1)-forms with support in $bar Omega $ is closed. Applications are given to the solvability of the tangential Cauchy-Riemann equations for smooth forms and currents for all intermediate bidegrees on boundaries of weakly pseudoconvex domains in Stein manifolds and to the solvability of the tangential Cauchy-Riemann equations for currents on Levi flat CR manifolds of arbitrary codimension." @default.
- W2068052140 created "2016-06-24" @default.
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- W2068052140 date "2004-10-01" @default.
- W2068052140 modified "2023-09-25" @default.
- W2068052140 title "The $bar partial $ -problem with support conditions on some weakly pseudoconvex domainswith support conditions on some weakly pseudoconvex domains" @default.
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- W2068052140 doi "https://doi.org/10.1007/bf02385479" @default.
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