共查询到20条相似文献,搜索用时 15 毫秒
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R. Michael Range 《Journal of Geometric Analysis》1992,2(6):575-584
We prove that on convex domains in C2 a suitable integral solution operator for the Cauchy-Riemann equations preserves exact Hölder regularity, and that it maps bounded (0,1) forms into BMO with respect to volume measure. 相似文献
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R. Michael Range 《Mathematische Annalen》1990,288(1):63-74
Dedicated to Professor Hans Grauert on his 60th birthday 相似文献
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Peter L. Polyakov 《Journal of Geometric Analysis》1996,6(2):233-276
We construct integral operatorsR r andH r on the spaces of differential forms of the type (o, r) withr <q on a regularq-concave CR manifoldM such that $$f(z) = \bar \partial _M R_r (f)(z) + R_{r + 1} (\bar \partial _M f)(z) + H_r (f)(z),$$ for a differential formf ∈ L (0,r) s (M) and forz ∈ M′ ?M, whereH r is compact andR r admits sharp estimates. 相似文献
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Jeffery D. McNeal 《Proceedings of the American Mathematical Society》2002,130(1):39-47
We show that a uniform subelliptic estimate for the -Neumann problem holds on a certain family of convex domains of finite type.
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In this paper we obtain non-isotropic weighted L
p
estimates with the boundary distance weight function for the -equation on piecewise smooth strictly pseudoconvex domains under a hypothesis of complex transversality in ℂn using the explicit formula of solutions by Berndtsson-Andersson.
This work was supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion
Fund) (Grant No. KRF-2005-070-C00007) 相似文献
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We construct integral operators Rr and Hr on a regular q-pseudoconcave CR manifoldM such that
for f∈C
(0,r)
∞
(M) and prove sharp estimates in a special Lipschitz scale. 相似文献
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S. Saber 《Mathematica Slovaca》2013,63(3):521-530
For a q-pseudoconvex domain Ω in ? n , 1 ≤ q ≤ n, with Lipschitz boundary, we solve the $\bar \partial $ -problem with exact support in Ω. Moreover, we solve the $\bar \partial $ -problem with solutions smooth up to the boundary over Ω provided that it has smooth boundary. Applications are given to the solvability of the tangential Cauchy-Riemann equations on the boundary. 相似文献
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Bo Berndtsson 《Journal of Geometric Analysis》1997,7(2):195-215
This paper concernsL ∞-variants of Hörmanders weightedL 2-estimates for the $\bar \partial - equation$ . In particular, we discuss a conjecture concerning suchL ∞-estimates which is related to the corona problem in the ball, and show a weaker version of this conjecture. The proof uses a refinedL 2-estimate for the canonical solution to the $\bar \partial - equation$ . An alternative approach based on von Neumann’s Minimax theorem is also given. 相似文献
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Steven G. Krantz 《manuscripta mathematica》1978,24(4):351-378
An intrinsic definition of Lipschitz classes in terms of vector fields on man-ifolds is provided and it is shown that it is locally equivalent with a more classical definition. A finer result is then proved for strongly pseudo-convex CR manifolds and applications of the theorems are given to smoothness of holomorphic functions and estimates for the \(\bar \partial \) and \(\bar \partial _b \) . equations. 相似文献
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