Best Approximation of the Differentiation Operator in Spaces of Functions Analytic in a Strip

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发表日期：

2025年6月1日

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O. V. Akopyan,
R. R. Akopyan

摘要

Abstract

In spaces of functions analytic in a strip, we obtain sharp estimates of the \(L^p\) -norms, \(1\le p\le\infty\) , of the derivative on an intermediate line in terms of the \(L^p\) -norms of the limit values of the function on the boundary lines. We also consider the Stechkin problem of best approximation of the differentiation operator by bounded operators.