A. Brudnyi

activity

19992008

most citedMetric Spaces with Linear Extensions Preserving Lipschitz Condition

4 citations · 9 across the 13 of their papers we have counts for

collaborators

Showing 2001Show all

3 papers · 1 filter

math.CV2001

A Grauert Type Theorem and Extension of Matrices with Entries in H^{\infty}

Alex Brudnyi

In the paper we prove an extension theorem for matrices with entries in H^{\infty}(U) for U being a Riemann surface of a special type. One of the main components of the proof is a…

math.CV2001

A Jensen Inequality for a Family of Analytic Functions

Alex Brudnyi

We improve an estimate (obtained in "A.Brudnyi, Small amplitude limit cycles and the distribution of zeros of families of analytic functions, Ann. of Math. 154 (2) (2001), 227-243"…

math.CV2001

Projections in the Space $H^{\infty}$ and the Corona Theorem for Coverings of Bordered Riemann Surfaces

Alexander Brudnyi

Let $M$ be a non-compact connected Riemann surface of finite type, and $R \subset\subset M$ be a relatively compact domain such that $H_{1} (M, Z) = H_{1} (R, Z)$ . Let $\tilde R\longrig…

A Grauert Type Theorem and Extension of Matrices with Entries in H^{\infty}

A Jensen Inequality for a Family of Analytic Functions

Projections in the Space H∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces

Projections in the Space $H^{\infty}$ and the Corona Theorem for Coverings of Bordered Riemann Surfaces