Estimates for the Norm of the Hardy Operator in Operator Ideals

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发表日期：

2024年3月25日

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E. N. Lomakina,
M. G. Nasyrova

摘要

We find the conditions for a compact Hardy operator in Lorentz spacesto belong to the operator ideals generated by sequences of $ s $ -numbers.We obtain some estimates of the norms of the Hardy operator in these ideals in terms of integralexpressions depending on the weight functions of the operator.