Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces

Document Type : Original Article

Authors

Yusuf Ramadana

Hendra Gunawan

Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia

10.22034/kjm.2023.386608.2779

Abstract

In this paper we investigate the boundedness of three classical operators, namely the Hardy-Littlewood maximal operator, fractional integral operators, and Calder'{o}n-Zygmund operators, on generalized weighted Morrey spaces and generalized weighted weak Morrey spaces. We prove that each of the three operators is bounded on these function spaces under some assumptions.

Keywords

Classical operators

generalized weighted Morrey spaces

$A_p$ weights

$A_{p

q}$ weights

Subjects

• 42 Harmonic analysis on Euclidean spaces

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