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In this paper, we prove basic a priori estimate for the $\overline\partial$-Neumann problem on an annulus between two pseudoconvex submanifolds of a Stein manifold. As a corollary of the result, we obtain the global regularity for the $\overline\partial$-problem on the annulus. This is a manifold version of the previous results on pseudoconvex domains.
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참고문헌 (14)
참고문헌 신청
E. J. Straube / 2010 / Lectures on the L2-Sobolev Theory of the ?∂-Neumann Problem / ESI Lectures in Mathematics and Physics
G. B. Folland / 1972 / The Neumann problem for the Cauchy-Riemann complex / Princeton University Press
H. Ahn / 2007 / Global boundary regularity for the ?∂-equation on q-pseudoconvex domains / Math. Nachr 280 (4) : 343 ~ 350
H. Ahn / 2010 / Global regularity of ?∂ on an annulus between a Q-pseudoconvex and a P-pseudoconcave boundary / Pure Appl. Math. Q 6 (3) : 647 ~ 661
H. R. Cho / 1996 / Global regularity of the ?∂-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P) / Manuscripta Math 90 (4) : 437 ~
G. B. Folland / 1972 / The Neumann problem for the Cauchy-Riemann complex / Princeton University Press
H. Ahn / 2007 / Global boundary regularity for the ?∂-equation on q-pseudoconvex domains / Math. Nachr 280 (4) : 343 ~ 350
H. Ahn / 2010 / Global regularity of ?∂ on an annulus between a Q-pseudoconvex and a P-pseudoconcave boundary / Pure Appl. Math. Q 6 (3) : 647 ~ 661
H. R. Cho / 1996 / Global regularity of the ?∂-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P) / Manuscripta Math 90 (4) : 437 ~
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