4 citations · 4 across the 3 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
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…
math.FA1999
Polynomial approximation on convex subsets of $\mathbb R^n
Y. Brudnyi, N. J. Kalton
Let K be a closed bounded convex subset of ; then by a result of the first author, which extends a classical theorem of Whitney there is a constant so that for e…