Bull. Korean Math. Soc. 2022; 59(4): 905-915
Online first article July 31, 2022 Printed July 31, 2022
https://doi.org/10.4134/BKMS.b210522
Copyright © The Korean Mathematical Society.
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
2001; 38(4): 701-708
2002; 39(1): 81-87
2005; 42(3): 623-629
2007; 44(2): 281-290
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