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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