1,081 research outputs found
estimates for the operator
This is a survey article about estimates for the
operator. After a review of the basic approach that has come to be called the
"Bochner-Kodaira Technique", the focus is on twisted techniques and their
applications to estimates for , to extension theorems, and
to other problems in complex analysis and geometry, including invariant metric
estimates and the -Neumann Problem.Comment: To appear in Bulletin of Mathematical Science
Analytic inversion of adjunction: L^2 extension theorems with gain
We establish new results on weighted extension of holomorphic top forms
with values in a holomorphic line bundle, from a smooth hypersurface cut out by
a holomorphic function. The weights we use are determined by certain functions
that we call denominators. We give a collection of examples of these
denominators related to the divisor defined by the submanifold.Comment: To Appear in Ann. Inst. Fourie
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