Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces
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.
Ramadana, Y., & Gunawan, H. (2023). Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces. Khayyam Journal of Mathematics, 9(2), 263-287. doi: 10.22034/kjm.2023.386608.2779
MLA
Yusuf Ramadana; Hendra Gunawan. "Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces". Khayyam Journal of Mathematics, 9, 2, 2023, 263-287. doi: 10.22034/kjm.2023.386608.2779
HARVARD
Ramadana, Y., Gunawan, H. (2023). 'Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces', Khayyam Journal of Mathematics, 9(2), pp. 263-287. doi: 10.22034/kjm.2023.386608.2779
VANCOUVER
Ramadana, Y., Gunawan, H. Boundedness of the Hardy-Littlewood maximal operator, fractional integral operators, and Calder\'on-Zygmund operators on generalized weighted Morrey spaces. Khayyam Journal of Mathematics, 2023; 9(2): 263-287. doi: 10.22034/kjm.2023.386608.2779
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