Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces
Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted generalized Morrey space Lp,ϕ,τω for p∈1,∞. F...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4532312 |
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| author | Guanghui Lu |
| author_facet | Guanghui Lu |
| author_sort | Guanghui Lu |
| collection | DOAJ |
| description | Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted generalized Morrey space Lp,ϕ,τω for p∈1,∞. Furthermore, the boudedness of Mθρ on weak weighted generalized Morrey space WLp,ϕ,τω is also obtained. |
| format | Article |
| id | doaj-art-c8ae2e31d3ba41ab9f54ee7fd82b13e2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c8ae2e31d3ba41ab9f54ee7fd82b13e22025-08-20T03:24:11ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/45323124532312Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey SpacesGuanghui Lu0College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, ChinaLet X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted generalized Morrey space Lp,ϕ,τω for p∈1,∞. Furthermore, the boudedness of Mθρ on weak weighted generalized Morrey space WLp,ϕ,τω is also obtained.http://dx.doi.org/10.1155/2020/4532312 |
| spellingShingle | Guanghui Lu Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces Journal of Function Spaces |
| title | Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces |
| title_full | Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces |
| title_fullStr | Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces |
| title_full_unstemmed | Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces |
| title_short | Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces |
| title_sort | parameter θ type marcinkiewicz integral on nonhomogeneous weighted generalized morrey spaces |
| url | http://dx.doi.org/10.1155/2020/4532312 |
| work_keys_str_mv | AT guanghuilu parameterthtypemarcinkiewiczintegralonnonhomogeneousweightedgeneralizedmorreyspaces |