Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels
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We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its commutator [b,TΩ,σ] on Morrey-Herz space with variable exponent, where Ω∈Ls(Sn-1) for s≥1 is a homogeneous function of degree zero, 0<σ<n, and b is a BMO function.
2013 ◽
Vol 29
(10)
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pp. 1917-1926
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2020 ◽
Vol 23
(1)
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pp. 298-302
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2016 ◽
Vol 31
(3)
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pp. 331-342
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2005 ◽
Vol 79
(1)
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pp. 11-24
Keyword(s):
Keyword(s):