4 citations · 4 across the 3 of their papers we have counts for
5 papers
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…
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…
A Universal Lipschitz Extension Property of Gromov Hyperbolic Spaces
A. Brudnyi, Yu. Brudnyi
A metric space has the universal Lipschitz extension property if for each subspace S embedded quasi-isometrically into an arbitrary metric space M there exists a continuous linear…
Metric Spaces with Linear Extensions Preserving Lipschitz Condition
A. Brudnyi, Yu. Brudnyi
We study a new bi-Lipschitz invariant λ(M) of a metric space M; its finiteness means that Lipschitz functions on an arbitrary subset of M can be linearly extended to functions on M…
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…