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Higher-dimensional Ahlfors-Beurling type inequalities in Clifford analysis

Author(s): Mircea Martin
Journal: Proc. Amer. Math. Soc. 126 (1998), 2863-2871.
MSC (1991): Primary 31B10, 41A20, 41A63
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Abstract: A generalization to higher dimensions of a classical inequality due to Ahlfors and Buerling is proved. As a consequence, an extension of Alexander's quantitative version of Hartogs-Rosenthal Theorem is derived. Both results are stated and proved within the framework of Clifford analysis.

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Additional Information:

Mircea Martin
Affiliation: Department of Mathematics, Baker University, Baldwin City, Kansas 66006
Email: mmartin@harvey.bakeru.edu

DOI: 10.1090/S0002-9939-98-04351-2
PII: S 0002-9939(98)04351-2
Keywords: Clifford analysis, approximation theory
Received by editor(s): February 18, 1997
Additional Notes: This work was supported in part by NSF Grant DMS-9301187.
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society

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