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On multipliers for Hardy-Sobolev spaces |
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| Authors: | Frank Beatrous Jacob Burbea |
| Institution: | Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 ; Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 |
| 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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