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

Albert Boggess, Andrew Raich

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
JournalJournal of Geometric Analysis
DOIs
StateAccepted/In press - 2021

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

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