Higher-dimensional Ahlfors-Beurling type inequalities in Clifford analysis

Author:
Mircea Martin

Journal:
Proc. Amer. Math. Soc. **126** (1998), 2863-2871

MSC (1991):
Primary 31B10, 41A20, 41A63

DOI:
https://doi.org/10.1090/S0002-9939-98-04351-2

MathSciNet review:
1451820

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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**

Email:
mmartin@harvey.bakeru.edu

DOI:
https://doi.org/10.1090/S0002-9939-98-04351-2

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

Article copyright:
© Copyright 1998
American Mathematical Society