Zobrazeno 1 - 10 of 115 pro vyhledávání: '"Albert Boggess"'
1
The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues
Autor: Albert Boggess, Andrew Raich
Publikováno v: Transactions of the American Mathematical Society, Series B. 10:507-541
This paper is part of a continuing examination into the geometric and analytic properties of the Kohn Laplacian and its inverse on general quadric submanifolds of C n × C m \mathbb {C}^n\times \mathbb {C}^m . The goal of this article is explore the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a0d980133f31c4f7260390cc31786ec2
https://doi.org/10.1090/btran/121
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2
The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas
Autor: Albert Boggess, Andrew Raich
Publikováno v: Proceedings of the American Mathematical Society, Series B. 9:186-203
This paper is the first of a three part series in which we explore geometric and analytic properties of the Kohn Laplacian and its inverse on general quadric submanifolds of C n × C m \mathbb {C}^n\times \mathbb {C}^m . In this paper, we present a s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0ff8c85d9800f9e1ed3665dfe8ad7a30
https://doi.org/10.1090/bproc/77
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4
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
Publikováno v: The Journal of Geometric Analysis. 31:11529-11583
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 t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5cfa36cf890480773a0a674bba916cd4
https://doi.org/10.1007/s12220-021-00693-2
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5
The fundamental solution to $$\Box _b$$ on quadric manifolds: part 2. $$L^p$$ regularity and invariant normal forms
Autor: Albert Boggess, Andrew Raich
Publikováno v: Complex Analysis and its Synergies. 6
This paper is the second of a multi-part series in which we explore geometric and analytic properties of the Kohn–Laplacian and its inverse on general quadric submanifolds of $${\mathbb{C}}^n\times {\mathbb{C}}^m$$ . We have two goals in this paper
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4a558b18c213f8afb5d764814c30c0b8
https://doi.org/10.1007/s40627-020-00050-z
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