BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions
Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function, the heat maximal function, and the Littlewood...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/923874 |
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| author | Li Cha Heping Liu |
| author_facet | Li Cha Heping Liu |
| author_sort | Li Cha |
| collection | DOAJ |
| description | Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function, the heat maximal function, and the Littlewood-Paley 𝑔-function associated with 𝐿𝛼 in the localized BMO space BMO𝐿𝛼, which is the dual space of the Hardy space 𝐻1𝐿𝛼. |
| format | Article |
| id | doaj-art-d0649cdc0d90459f830fbae47cace03c |
| institution | DOAJ |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-d0649cdc0d90459f830fbae47cace03c2025-08-20T03:19:43ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/923874923874BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre ExpansionsLi Cha0Heping Liu1LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, ChinaLMAM, School of Mathematical Sciences, Peking University, Beijing 100871, ChinaLet {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function, the heat maximal function, and the Littlewood-Paley 𝑔-function associated with 𝐿𝛼 in the localized BMO space BMO𝐿𝛼, which is the dual space of the Hardy space 𝐻1𝐿𝛼.http://dx.doi.org/10.1155/2012/923874 |
| spellingShingle | Li Cha Heping Liu BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions Journal of Function Spaces and Applications |
| title | BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions |
| title_full | BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions |
| title_fullStr | BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions |
| title_full_unstemmed | BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions |
| title_short | BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions |
| title_sort | bmo boundedness of maximal operators and g functions associated with laguerre expansions |
| url | http://dx.doi.org/10.1155/2012/923874 |
| work_keys_str_mv | AT licha bmoboundednessofmaximaloperatorsandgfunctionsassociatedwithlaguerreexpansions AT hepingliu bmoboundednessofmaximaloperatorsandgfunctionsassociatedwithlaguerreexpansions |