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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)

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)
MathSciNet review: 888499
MSC: Primary 32G07; Secondary 32F20, 35N15

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Table of Contents


  • 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