Type of Document Master's Thesis Author Guerra Huaman, Moises Daniel Author's Email Address email@example.com 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 AbstractHardy 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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