Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2022; 59(4): 905-915

Published online July 31, 2022 https://doi.org/10.4134/BKMS.b210522

Copyright © The Korean Mathematical Society.

Integral operators on Ces\`{a}ro function spaces

Kwok-Pun Ho

10 Lo Ping Road, Tai Po

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This paper studies the boundedness of integral operators on the Ces\`{a}ro function spaces. As applications of the main result, we obtain the Hilbert inequalities, the boundedness of the Erd\'{e}lyi-Kober fractional integrals and the Mellin fractional integrals on the Ces\`{a}ro function spaces.

Keywords: Ces\`{a}ro function spaces, integral operators, Hardy's inequality, fractional integrals, Hilbert inequality

MSC numbers: 44A15, 46E30

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