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http://dx.doi.org/10.4134/BKMS.b210522

INTEGRAL OPERATORS ON CESÀRO FUNCTION SPACES  

Ho, Kwok-Pun (Department of Mathematics and Information Technology The Education University of Hong Kong)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.4, 2022 , pp. 905-915 More about this Journal
Abstract
This paper studies the boundedness of integral operators on the Cesàro function spaces. As applications of the main result, we obtain the Hilbert inequalities, the boundedness of the Erdélyi-Kober fractional integrals and the Mellin fractional integrals on the Cesàro function spaces.
Keywords
Cesaro function spaces; integral operators; Hardy's inequality; fractional integrals; Hilbert inequality;
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