Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces
The aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley g-function, the intrinsic Lusin area function, and the intrinsic gλ∗-function of the variable Hardy–Lorentz space Hp⋅,qℝn, for p⋅ being a measurable function on ℝn satisfy...
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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/10.1155/2020/2681719 |
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| _version_ | 1832554583774199808 |
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| author | Khedoudj Saibi |
| author_facet | Khedoudj Saibi |
| author_sort | Khedoudj Saibi |
| collection | DOAJ |
| description | The aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley g-function, the intrinsic Lusin area function, and the intrinsic gλ∗-function of the variable Hardy–Lorentz space Hp⋅,qℝn, for p⋅ being a measurable function on ℝn satisfying 0<p−≔ess infx∈ℝnpx≤ess supx∈ℝnpx≕p+<∞ and the globally log-Hölder continuity condition and q∈0,∞, via its atomic and Littlewood–Paley function characterizations. |
| format | Article |
| id | doaj-art-a41eaed7eb9342e780938d9a591e3551 |
| 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-a41eaed7eb9342e780938d9a591e35512025-02-03T05:51:14ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/26817192681719Intrinsic Square Function Characterizations of Variable Hardy–Lorentz SpacesKhedoudj Saibi0School of Mathematics and Statistics, Central South University, Changsha 410075, ChinaThe aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley g-function, the intrinsic Lusin area function, and the intrinsic gλ∗-function of the variable Hardy–Lorentz space Hp⋅,qℝn, for p⋅ being a measurable function on ℝn satisfying 0<p−≔ess infx∈ℝnpx≤ess supx∈ℝnpx≕p+<∞ and the globally log-Hölder continuity condition and q∈0,∞, via its atomic and Littlewood–Paley function characterizations.http://dx.doi.org/10.1155/2020/2681719 |
| spellingShingle | Khedoudj Saibi Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces Journal of Function Spaces |
| title | Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces |
| title_full | Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces |
| title_fullStr | Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces |
| title_full_unstemmed | Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces |
| title_short | Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces |
| title_sort | intrinsic square function characterizations of variable hardy lorentz spaces |
| url | http://dx.doi.org/10.1155/2020/2681719 |
| work_keys_str_mv | AT khedoudjsaibi intrinsicsquarefunctioncharacterizationsofvariablehardylorentzspaces |