$$\bar \partial $$ -problem on weaklyq-convex domains
Copyright policy )$$\bar \partial $$ -problem on weaklyq-convex domains
We deal with a class of domains that we call weakly q-convex. These domains are generalizations of pseudoconvex domains. We show that we can solve the \({\bar \partial}\)-equation on weakly-\(q\)-convex domains on \((p,r)\)-forms for \(r\geq q\). We also show that we can prove other statements related to \({\bar \partial}\) in weakly \(q\)-convex domains that are true in pseudoconvex domains.
- Wichita State University United States
subelliptic estimates, weakly-q-convex domains, \({\bar \partial }\)-problem, q-subharmonic functions, Pseudoconvex domains, Geometric convexity in several complex variables, \(\overline\partial\) and \(\overline\partial\)-Neumann operators
subelliptic estimates, weakly-q-convex domains, \({\bar \partial }\)-problem, q-subharmonic functions, Pseudoconvex domains, Geometric convexity in several complex variables, \(\overline\partial\) and \(\overline\partial\)-Neumann operators
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