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

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

2006-09-22

arxiv.org/abs/math/0609623v1

Mathematics

Functional Analysis

26 pages

Scientific paper

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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