Estimates for the $$\bar \partial $$ -equation and zeros of holomorphic functions on the Lie-ball
Copyright policy )Estimates for the $$\bar \partial $$ -equation and zeros of holomorphic functions on the Lie-ball
The \({\bar \partial}\)-equation for (0,1)-forms on the Lie-ball is solved with some weighted \(L^ 1\)-estimates. The author uses the integral formula of Berndtsson and Andersson and the weighted \(L^ 2\)-estimate of Ohsawa. A sufficient condition for an analytic set to be the zero set of a holomorphic function of finite order on the Lie-ball is got from this solution.
- University of Bonn Germany
Holomorphic functions of several complex variables, \({\bar \partial }\)-equation, Lie-ball, weighted \(L^ 1\)-estimates, zero set, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, holomorphic function of finite order
Holomorphic functions of several complex variables, \({\bar \partial }\)-equation, Lie-ball, weighted \(L^ 1\)-estimates, zero set, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, holomorphic function of finite order
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