ON THE HILBERT-TYPE OPERATORS ACTING FROM FUNCTION SPACES INTO SEQUENCE SPACES

Jianjun Jin

doi:10.1216/rmj.2023.53.1889

Abstract

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. "ON THE HILBERT-TYPE OPERATORS ACTING FROM FUNCTION SPACES INTO SEQUENCE SPACES." Rocky Mountain J. Math. 53 (6) 1889 - 1903, December 2023. https://doi.org/10.1216/rmj.2023.53.1889

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Received: 26 September 2022; Accepted: 31 October 2022; Published: December 2023

First available in Project Euclid: 21 December 2023

MathSciNet: MR4682748

zbMATH: 07784580

Digital Object Identifier: 10.1216/rmj.2023.53.1889

Subjects:

Primary: 47A30

Secondary: 26D15

Keywords: boundedness of operator , Carleson measure , compactness of operator , Hilbert-type operator , norm of operator

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