The Fundamental Solution to □ b on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in C4

Albert Boggess; Andrew Raich

doi:10.1007/s12220-021-00693-2

The Fundamental Solution to □ _b on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in C⁴

Albert Boggess
, Andrew Raich

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The purpose of this paper is to find pointwise estimates on the integral kernel for the □ _b Green operator, N, for a particular quadric submanifold of codimension 2 in C⁴. 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.

Original language	English (US)
Pages (from-to)	11529-11583
Number of pages	55
Journal	Journal of Geometric Analysis
Volume	31
Issue number	11
DOIs	https://doi.org/10.1007/s12220-021-00693-2
State	Published - Nov 2021

Keywords

Asymptotics
Complex Green operator
High codimension
Quadric submanifolds
Tangential Cauchy–Riemann operator

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1007/s12220-021-00693-2

Cite this

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abstract = "The purpose of this paper is to find pointwise estimates on the integral kernel for the □ b Green operator, N, for a particular quadric submanifold of codimension 2 in C4. 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.",

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KW - Tangential Cauchy–Riemann operator

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