19 citations · 39 across the 34 of their papers we have counts for
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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.CV2006
On uniform subalgebras of L^\infty on the unit circle generated by almost periodic functions
A. Brudnyi, D. Kinzebulatov
In the present paper we introduce analogs of almost periodic functions on the unit circle. We study certain uniform algebras generated by such functions, prove corona theorems for…
math.MG2006
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…