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A new approach to the local embedding theorem of CR-structures for $n≥4$ (the local solvability for the operator $\bar\partial_{b}$ in the abstract sense)
About this Title
Takao Akahori
Publication: Memoirs of the American Mathematical Society
Publication Year:
1987; Volume 67, Number 366
ISBNs: 978-0-8218-2428-3 (print); 978-1-4704-0782-7 (online)
DOI: https://doi.org/10.1090/memo/0366
MathSciNet review: 888499
MSC: Primary 32G07; Secondary 32F20, 35N15
Table of Contents
Chapters
- Part I. $D_b^f$-estimate
- 1. Preparations
- 2. An a priori estimate for $D^\psi _b$
- 3. Some estimate for $\square ^\psi _b$
- 4. An a priori estimate for $D^f_b$
- 5. Some estimate for $\square ^f_b$
- 6. The smoothing operator
- Part II. The construction of the solution
- 7. The algorithm to constructing a sequence of embeddings
- 8. The local embedding theorem