$ \theta $-type generalized fractional integral and its commutator on some non-homogeneous variable exponent spaces

Guanghui Lu; Li Rui; Guanghui Lu; Li Rui

doi:10.3934/math.2021560

AIMS Mathematics

2021, Volume 6, Issue 9: 9619-9632. doi: 10.3934/math.2021560

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Research article

$ \theta $-type generalized fractional integral and its commutator on some non-homogeneous variable exponent spaces

Guanghui Lu ^,,
Li Rui

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received: 26 February 2021 Accepted: 21 June 2021 Published: 25 June 2021
MSC : 42B20, 42B35

- non-homogeneous variable exponent space,
- $ \theta $-type generalized fractional integral,
- commutator,
- space $ \mathrm{RBMO}(\mu) $
Citation: Guanghui Lu, Li Rui. $ \theta $-type generalized fractional integral and its commutator on some non-homogeneous variable exponent spaces[J]. AIMS Mathematics, 2021, 6(9): 9619-9632. doi: 10.3934/math.2021560

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