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# memo_has_moved_text();A new approach to the local embedding theorem of CR-structures for $n\geq 4$ (the local solvability for the operator $\overline \partial _b$ in the abstract sense)

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: http://dx.doi.org/10.1090/memo/0366
MathSciNet review: 888499
MSC: Primary 32G07; Secondary 32F20, 35N15

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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