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http://dx.doi.org/10.4134/JKMS.j200071

PARAMETER MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON GENERALIZED ORLICZ-MORREY SPACES  

Lu, Guanghui (College of Mathematics and Statistics Northwest Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 383-400 More about this Journal
Abstract
The aim of this paper is to mainly establish the sufficient and necessary conditions for the boundedness of the commutator ����Ω,b which is generated by the parameter Marcinkiwicz integral ����Ω and the Lipschitz function b on generalized Orlicz-Morrey space L��,��(Rd) in the sense of the Adams type result (or Spanne type result). Moreover, the necessary conditions for the parameter Marcinkiewizcz integral ����Ω on the L��,��(Rd), and the commutator [b,����Ω] generated by the ����Ω and the space BMO on the L��,��(Rd), are also obtained, respectively.
Keywords
Parameter Marcinkiewicz integral; commutator; Lipschits space; BMO space; generalized Orlicz-Morrey;
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