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arXiv · 2206.07265

On the Hilbert-type operators acting from function spaces into sequence spaces

Jianjun Jin
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Abstract

In this paper we introduce and study some Hilbert-type operators acting from the function spaces into the sequence spaces. We give some sufficient and necessary conditions for the boundedness and compactness of these Hilbert-type operators. Also, for some special cases, we obtain the sharp estimates for the norms of certain Hilbert-type operators.

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Jianjun Jin. 2022-06-15. On the Hilbert-type operators acting from function spaces into sequence spaces. https://arxiv.org/abs/2206.07265

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