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

A. Brudnyi·Yu. Brudnyi
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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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A. Brudnyi, Yu. Brudnyi. 2006-09-22. Remez Type Inequalities and Morrey-Campanato Spaces on Ahlfors Regular Sets. https://arxiv.org/abs/math/0609623

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