On estimates of Schatten-von Neumann norms of Hardy-Steklov operator

TL;DR

This paper provides bounds for the Schatten-von Neumann norms of the Hardy-Steklov operator within Lebesgue spaces on the semi-axis, enhancing understanding of its spectral properties.

Contribution

It introduces new upper and lower estimates for the Schatten-von Neumann norms of the Hardy-Steklov operator, advancing spectral analysis techniques.

Findings

Established bounds for Schatten-von Neumann norms

Improved understanding of Hardy-Steklov operator spectral properties

Enhanced estimates in Lebesgue function spaces

Abstract

Upper and lower estimates are obtained for the Schatten-von Neumann norms of the Hardy-Steklov operator in Lebesgue function spaces on the semi-axis.