Guerra Huaman, Moises Daniel2014-03-142014-03-142008-04-17etd-04222008-162136http://hdl.handle.net/10919/31827Hardy 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.In Copyrightunit disk.planar domainHardy spaceThesishttp://scholar.lib.vt.edu/theses/available/etd-04222008-162136/