Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1908794 |
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| _version_ | 1850165827307831296 |
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| author | Hongbin Wang Jiajia Wang Zunwei Fu |
| author_facet | Hongbin Wang Jiajia Wang Zunwei Fu |
| author_sort | Hongbin Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e1c5d951c4d54fc9b461a0190fca7a5b |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e1c5d951c4d54fc9b461a0190fca7a5b2025-08-20T02:21:38ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/19087941908794Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough KernelsHongbin Wang0Jiajia Wang1Zunwei Fu2School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2017/1908794 |
| spellingShingle | Hongbin Wang Jiajia Wang Zunwei Fu Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels Journal of Function Spaces |
| title | Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels |
| title_full | Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels |
| title_fullStr | Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels |
| title_full_unstemmed | Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels |
| title_short | Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels |
| title_sort | morrey meets herz with variable exponent and applications to commutators of homogeneous fractional integrals with rough kernels |
| url | http://dx.doi.org/10.1155/2017/1908794 |
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