Proceedings of the American Mathematical Society

Author(s): Frank Beatrous; Jacob Burbea
Journal: Proc. Amer. Math. Soc. 136 (2008), 2125-2133.
MSC (2000): Primary 32A35
Posted: February 21, 2008
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Abstract: It is shown that membership of holomorphic functions in Hardy-Sobolev spaces in the unit ball cannot be characterized by finiteness of any integral norm. In addition, sufficient conditions are given for a holomorphic function to be a pointwise multiplier of a Hardy-Sobolev space.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32A35

Frank Beatrous
Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Email: beatrous@pitt.edu

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