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math.FA2006
Remez Type Inequalities and Morrey-Campanato Spaces on Ahlfors Regular Sets
A. Brudnyi, Yu. Brudnyi
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 appli…
math.FA2006
Extension of Lipschitz Functions Defined on Metric Subspaces of Homogeneous Type
A. Brudnyi, Yu. Brudnyi
If a metric subspace of an arbitrary metric space carries a doubling measure , then there is a simultaneous linear extension of all Lipschitz functions on ra…