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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Hindawi Limited
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4532312 |
| Summary: | 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. |
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| ISSN: | 2314-8888 |