Some estimates of operators on Local mixed Morrey-type spaces

Mingwei Shi () and Jiang Zhou ()
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Mingwei Shi: Xinjiang University
Jiang Zhou: Xinjiang University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1261-1280

Abstract: Abstract In this paper, we used two different methods to establish the boundedness of Hardy-Littlewood maximal operators and Hardy operators on local mixed Morrey-type spaces. In addition obtain vector valued maximal inequalities, predual spaces of local mixed Morrey-type spaces, nonsmooth decomposition, characterize mixed Hardy local Morrey-type spaces, norm equivalence relation on local mixed Morrey-type spaces is derived.

Keywords: Local mixed Morrey-type spaces; Atomic decomposition; Molecular decomposition; The Hardy operators; Hardy-Littlewood maximal operators; 42B20; 42B25; 42B35 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00432-z

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