Global boundary regularity for the $ \bar \partial $‐equation on q‐pseudoconvex domains |
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| Authors: | Heungju Ahn |
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| Institution: | Department of Mathematical Sciences (NS 30), Seoul National University, San56‐1 Shinrim‐dong Kwanak‐gu, Seoul 151‐747, South KoreaPhone: +82 2 880 6560, Fax: +82 2 880 4694 |
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| Abstract: | We introduce a notion of q ‐pseudoconvex domain of new type for a bounded domain of ?n and prove that for given a  ‐closed (p, r)‐form, r ≥ q, that is smooth up to the boundary, there exists a (p, r – 1)‐form smooth up to the boundary which is a solution of  ‐equation on a bounded q ‐pseudoconvex domain. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | $ \bar \partial $‐equation q ‐pseudoconvexity |
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