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Lipschitz Estimates On Weakly Pseudoconvex Domains, Daniel Smitas
Lipschitz Estimates On Weakly Pseudoconvex Domains, Daniel Smitas
Legacy Theses & Dissertations (2009 - 2024)
Given an arbitrary pseudoconvex domain D in C^n, in general, one cannot construct an integral kernel using holomorphic support functions. Here we consider an integral kernel, defined for weakly pseudoconvex domains, that while not holomorphic, does display related properties. We examine the transform defined by this kernel, Tf, on the Holder spaces we inspect how tangential vector fields apply to Tf.