Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators
In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.\
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231022?viewType=HTML |
| _version_ | 1797788561946181632 |
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| author | Ming Liu Bin Zhang Xiaobin Yao |
| author_facet | Ming Liu Bin Zhang Xiaobin Yao |
| author_sort | Ming Liu |
| collection | DOAJ |
| description | In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.\ |
| first_indexed | 2024-03-13T01:38:19Z |
| format | Article |
| id | doaj.art-eea511752b85434387849cfe0799fcce |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T01:38:19Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-eea511752b85434387849cfe0799fcce2023-07-04T01:22:42ZengAIMS PressAIMS Mathematics2473-69882023-06-0189200632007910.3934/math.20231022Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operatorsMing Liu0Bin Zhang1Xiaobin Yao 2School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, ChinaSchool of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, ChinaSchool of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, ChinaIn this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.\ https://www.aimspress.com/article/doi/10.3934/math.20231022?viewType=HTMLmorrey-herz spacecommutatorsfractional hardy operatorsvariable exponent function spaceweights |
| spellingShingle | Ming Liu Bin Zhang Xiaobin Yao Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators AIMS Mathematics morrey-herz space commutators fractional hardy operators variable exponent function space weights |
| title | Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators |
| title_full | Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators |
| title_fullStr | Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators |
| title_full_unstemmed | Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators |
| title_short | Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators |
| title_sort | weighted variable morrey herz space estimates for m th order commutators of n dimensional fractional hardy operators |
| topic | morrey-herz space commutators fractional hardy operators variable exponent function space weights |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231022?viewType=HTML |
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