The d̄ Neumann problem is probably the most important and natural example
of a non-elliptic boundary value problem, arising as it does from the
Cauchy-Riemann equations. It has been known for some time how to prove
solvability and regularity by the use of L2 methods. In this monograph
the authors apply recent methods involving the Heisenberg group to
obtain parametricies and to give sharp estimates in various function
spaces, leading to a better understanding of the d̄ Neumann problem. The
authors have added substantial background material to make the monograph
more accessible to students.
Originally published in 1977.
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