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Remez Type Inequalities and Morrey-Campanato Spaces on Ahlfors Regular Sets

A. Brudnyi, Yu. Brudnyi

math.FAarXiv:math/0609623

Abstract

The paper presents several new results on Remez type inequalities for real and complex polynomials in n variables on Ahlfors regular subsets of Lebesgue n-measure zero. As an application we prove an extension theorem for Morrey-Campanato spaces defined on such sets.

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