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The Fundamental Solution to $$\Box _b$$ □ b on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$ C 4
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2021-05-26 , DOI: 10.1007/s12220-021-00693-2
Albert Boggess , Andrew Raich

The purpose of this paper is to find pointwise estimates on the integral kernel for the \(\Box _b\) Green operator, N, for a particular quadric submanifold of codimension 2 in \({\mathbb {C}}^4\). This particular kernel has singularities away from the diagonal. Furthermore, the estimates exhibited by this kernel, both on and off the diagonal, follow no known paradigm.



中文翻译:

二次流形上的$$ \ Box _b $$□b的基本解决方案:第3部分。$$ {\ mathbb {C}} ^ 4 $$ C 4的Codimension 2案例的渐近性

本文的目的是针对\({\ mathbb {C}} ^ 4 \)中余量2的特定二次子流形,为\(\ Box _b \) Green运算符N寻找积分核上的逐点估计。。该特定内核的奇点远离对角线。此外,此内核在对角线上和对角线上显示的估计均不遵循已知范式。

更新日期:2021-05-26
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