Date of Award
1-1-2013
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (v, 54 pages)
Dissertation/Thesis Chair
Michael Range
Committee Members
Kehe Zhu, Rongwei Yang, Jing Zhange
Keywords
Analysis, Integral equations, Lipschitz spaces, Complex manifolds, Cauchy integrals, Kernel functions
Subject Categories
Physical Sciences and Mathematics
Abstract
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.
Recommended Citation
Smitas, Daniel, "Lipschitz estimates on weakly pseudoconvex domains" (2013). Legacy Theses & Dissertations (2009 - 2024). 1014.
https://scholarsarchive.library.albany.edu/legacy-etd/1014