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arxiv: math/0609623 · v1 · submitted 2006-09-22 · 🧮 math.FA · math.CV

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

classification 🧮 math.FA math.CV
keywords ahlforsinequalitiesmorrey-campanatoregularremezsetsspacestype
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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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