Higher-dimensional Ahlfors-Beurling type inequalities in Clifford analysis

Martin, Mircea

doi:10.1090/S0002-9939-98-04351-2

Higher-dimensional Ahlfors-Beurling type inequalities in Clifford analysis
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Proc. Amer. Math. Soc. 126 (1998), 2863-2871 Request permission

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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