Miron B. Bekker

collaborators

4 papers

math.CV2026

Estimates of $I^$ -functions and their $lo g$ -derivatives

Miron Bekker, Boris Mityagin

We provide a lower bound for a weighted ratio of $I^ -$ functions and its $lo g -$ derivative. Then we apply this result to estimate the norm of the operator associated with the CesÃ…

math.FA2026

Remark Concerning CesÃ¡ro Operator on the Hardy Space $H^{p} (C_{+})$ in the Upper Half-Plane

Valentin V. Andreev, Miron B. Bekker, Joseph A. Cima

We consider CesÃ¡ro operator on the Hardy space $H^{p} (C_{+})$ in the upper half-plane for $1 < p < \infty$ . In \cite{AS} it was proved that for all $1 < p < \infty$ the spectrum of t…

math.CV2024

On Generators of the Hardy and the Bergman Spaces

Valentin V. Andreev, Miron B. Bekker, Joseph A. Cima

A function which is analytic and bounded in the Unit disk is called a generator for the Hardy space or the Bergman space if polynomials in that function are dense in the correspond…

math.FA2024

On the Ces`aro operator on the Hardy space in the upper half-plane

Valentin V. Andreev, Miron B. Bekker, Joseph A. Cima

We discuss the Ces`aro operator on the Hardy space in the upper half-plane. We provide a new simple proof of the boundedness of this operator, prove that this operator is equal to…

Estimates of I^-functions and their log-derivatives

Remark Concerning CesÃ¡ro Operator on the Hardy Space Hp(C+​) in the Upper Half-Plane

On Generators of the Hardy and the Bergman Spaces

On the Ces`aro operator on the Hardy space in the upper half-plane

Estimates of $I^$ -functions and their $lo g$ -derivatives

Remark Concerning CesÃ¡ro Operator on the Hardy Space $H^{p} (C_{+})$ in the Upper Half-Plane