Title page for ETD etd-04222008-162136


Type of Document Master's Thesis
Author Guerra Huaman, Moises Daniel
Author's Email Address moisesgg@vt.edu
URN etd-04222008-162136
Title Hardy-space Function Theory on Finitely Connected Planar Domains
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Ball, Joseph A. Committee Chair
Hagedorn, George A. Committee Member
Renardy, Michael J. Committee Member
Keywords
  • unit disk.
  • planar domain
  • Hardy space
Date of Defense 2008-04-17
Availability unrestricted
Abstract
Hardy space scalar theory on the disk is now classical. Some extensions have been done,

one of them is the approach done by Donald Sarason using Laurent series. We present the

more complicated function theory, without the use of either power series or Laurent series,

for finitely-connected planar domains.

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