Bloch Functions in Several Complex Variables, I |
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Authors: | Timoney Richard M. |
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Affiliation: | Indiana University Bloomington, Indiana 47405, U.S.A. |
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Abstract: | Bloch functions on the unit disk are those analytic functionsf for which the quantity |f'(z)|(1 |z|2) is bounded(for z in the disk). In this paper, Bloch functions on boundedhomogeneous domains in complex m-space are studied. The mainresult shows that many of the equivalent definitions of Blochfunctions on the unit disk are also equivalent in the generalsetting. Current Address: 39 Trinity College, Dublin 2, Ireland. |
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