Levi foliations in pseudoconvex boundaries and vector fields that commute approximately with $\bar \partial $
نویسندگان
چکیده
منابع مشابه
Vector Fields Tangent to Foliations
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15 صفحه اولOn the Smoothness of Levi-foliations
D.E . BARRETT AND J . E . FORNAESS We study the regularity of the induced foliation of a Levi-flat hypersurface in C'° , showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question .
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03133-1