The Fundamental Solution to $$\Box _b$$ on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$

Autor: Andrew Raich, Albert Boggess
Rok vydání: 2021
Předmět:
Zdroj: The Journal of Geometric Analysis. 31:11529-11583
ISSN: 1559-002X
1050-6926
DOI: 10.1007/s12220-021-00693-2
Popis: 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.
Databáze: OpenAIRE