The necessary condition for d-bar equation in Holder space in C three
Abstract
Suppose that a smooth holomorphic curve V has order of contact η at a point z0 in the boundary of a pseudoconvex domain Ω in [special characters omitted]. We show that the maximal gain in Hölder regularity for solutions of the ∂-equation is at most [special characters omitted]. The result in this thesis improves previous works by Krantz in [11] and McNeal [12].
Degree
Ph.D.
Advisors
Catlin, Purdue University.
Subject Area
Mathematics
Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server.