Basic Structure of U-Spaces on the Unit Disk
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Date
2012-01
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Addis Ababa University
Abstract
This paper begins with the classical representation theorems for certain class of harmonic
functions in the unit disc, together with some basic results on boundary behavior and some
discussion of subhamonic functions.
The Hardy spaces are certain space of holomorphic functions on the unit disk. They were
introduced by Frigyes Riesz (Riesz 1923), who named then after G.H.Hardy, because of the
paper (Hardy 1915)
The Hardy space HP for 0 <P<∞ is the class of holomorphic functions Fon the open
unit disk U satisfying
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Basic Structure of U-Spaces