Hardy Spaces Associated to Schrödinger Operators on Product Spaces
Let L=−Δ+V be a Schrödinger operator on ℝn, where V∈Lloc1(ℝn) is a nonnegative function on ℝn. In this article, we show that the Hardy spaces L on product spaces can be characterized in terms of the Lusin area integral, atomic decomposition, and maximal functions.
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| Main Authors: | , |
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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/10.1155/2012/179015 |
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| _version_ | 1832547512787927040 |
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| author | Liang Song Chaoqiang Tan |
| author_facet | Liang Song Chaoqiang Tan |
| author_sort | Liang Song |
| collection | DOAJ |
| description | Let L=−Δ+V be a Schrödinger operator on ℝn, where V∈Lloc1(ℝn) is a nonnegative function on ℝn. In this article, we show that the Hardy spaces L on product spaces can be characterized in terms of the Lusin area integral, atomic decomposition, and maximal functions. |
| format | Article |
| id | doaj-art-6fabc13ac5034d2d8d03c34beac2f30c |
| institution | Kabale University |
| 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-6fabc13ac5034d2d8d03c34beac2f30c2025-02-03T06:44:26ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/179015179015Hardy Spaces Associated to Schrödinger Operators on Product SpacesLiang Song0Chaoqiang Tan1Department of Mathematics, Zhongshan University, Guangzhou 510275, ChinaDepartment of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaLet L=−Δ+V be a Schrödinger operator on ℝn, where V∈Lloc1(ℝn) is a nonnegative function on ℝn. In this article, we show that the Hardy spaces L on product spaces can be characterized in terms of the Lusin area integral, atomic decomposition, and maximal functions.http://dx.doi.org/10.1155/2012/179015 |
| spellingShingle | Liang Song Chaoqiang Tan Hardy Spaces Associated to Schrödinger Operators on Product Spaces Journal of Function Spaces and Applications |
| title | Hardy Spaces Associated to Schrödinger Operators on Product Spaces |
| title_full | Hardy Spaces Associated to Schrödinger Operators on Product Spaces |
| title_fullStr | Hardy Spaces Associated to Schrödinger Operators on Product Spaces |
| title_full_unstemmed | Hardy Spaces Associated to Schrödinger Operators on Product Spaces |
| title_short | Hardy Spaces Associated to Schrödinger Operators on Product Spaces |
| title_sort | hardy spaces associated to schrodinger operators on product spaces |
| url | http://dx.doi.org/10.1155/2012/179015 |
| work_keys_str_mv | AT liangsong hardyspacesassociatedtoschrodingeroperatorsonproductspaces AT chaoqiangtan hardyspacesassociatedtoschrodingeroperatorsonproductspaces |