Riesz potential, Marcinkiewicz integral and their commutators on mixed Morrey spaces
Keyword(s):
This paper deals with the boundedness of integral operators and their commutators in the framework of mixed Morrey spaces. Precisely, we study the mixed boundedness of the commutator [b,I?], where I? denotes the fractional integral operator of order ? and b belongs to a suitable homogeneous Lipschitz class. Some results related to the higher order commutator [b,I?]k are also shown. Furthermore, we examine some boundedness properties of the Marcinkiewicz-type integral ?? and the commutator [b,??] when b belongs to the BMO class.
2009 ◽
Vol 80
(2)
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pp. 324-334
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Keyword(s):
2020 ◽
Vol 0
(0)
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2016 ◽
Vol 103
(2)
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pp. 268-278
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2015 ◽
Vol 30
(2)
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pp. 81-92
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