global regularity for the ∂-b-equation on cr manifolds of arbitrary codimension

الانتظام الشامل لمعادلة $\bar{\partial}_b$ على متعددات طيات CR ذات بُعد مشترك كيفي

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ID: 214451
2014
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Abstract
Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M.
ليكن $M$ متعدد شُعَب CR متراصًا من الفئة $C^\infty$ ذا بُعْد مرافق CR مقداره $l \ge 1$ وبُعْد CR مقداره $n-l$ في متعدد شُعَب مركب $X$ ذي بُعْد مركب $n \ge 3$. في هذا البحث، وبافتراض أن $M$ يستوفي الشرط $Y(s)$ لقيمة ما للمتغير $s$ حيث $1 \le s \le n-l-1$، نثبت مبرهنة وجود في $L^2$ وانتظامًا شاملاً لحلول معادلة كوشي-ريمان المماسية للصيغ من النوع $(0,s)$ على $M$.
Reference Key
khidr2014abstractglobal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Shaban Khidr, Osama Abdelkader
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Journal science and technology of advanced materials
Year 2014
DOI
10.1155/2014/326434
URL
http://dx.doi.org/10.1155/2014/326434
Keywords
mathematics

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