Alexander Brudnyi

collaborators

3 papers

math.CV2024

On algebras of Dirichlet series invariant under permutations of coefficients

Alexander Brudnyi, Amol Sasane

Let $O_{u}$ be the algebra of holomorphic functions on $C_{+} := {s \in C : Re s > 0}$ that are limits of Dirichlet series $D = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ , $s\in…

math.CV2024

Runge-Type Approximation Theorem for Banach-valued $H^{\infty}$ Functions on a Polydisk

Alexander Brudnyi

Let $D^{n} \subset C^{n}$ be the open unit polydisk, $K \subset D^{n}$ be an $n$ -ary Cartesian product of planar sets, and $U^\subset M^{n}$ be an open ne…

math.FA2006

Extension of Lipschitz Functions Defined on Metric Subspaces of Homogeneous Type

A. Brudnyi, Yu. Brudnyi

If a metric subspace $M^{o}$ of an arbitrary metric space $M$ carries a doubling measure $μ$ , then there is a simultaneous linear extension of all Lipschitz functions on $M^{o}$ ra…

On algebras of Dirichlet series invariant under permutations of coefficients

Runge-Type Approximation Theorem for Banach-valued H∞ Functions on a Polydisk

Extension of Lipschitz Functions Defined on Metric Subspaces of Homogeneous Type

Runge-Type Approximation Theorem for Banach-valued $H^{\infty}$ Functions on a Polydisk