Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators
Let L=−Δ+V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHqℝn with q>n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the qua...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/8001131 |
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| author | Li Yang Pengtao Li |
| author_facet | Li Yang Pengtao Li |
| author_sort | Li Yang |
| collection | DOAJ |
| description | Let L=−Δ+V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHqℝn with q>n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrödinger operators. |
| format | Article |
| id | doaj-art-cecf2b43a432499cafafd46413956bc3 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cecf2b43a432499cafafd46413956bc32025-02-03T06:43:13ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/8001131Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger OperatorsLi Yang0Pengtao Li1School of Mathematics and StatisticsSchool of Mathematics and StatisticsLet L=−Δ+V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHqℝn with q>n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrödinger operators.http://dx.doi.org/10.1155/2023/8001131 |
| spellingShingle | Li Yang Pengtao Li Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators Journal of Function Spaces |
| title | Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators |
| title_full | Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators |
| title_fullStr | Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators |
| title_full_unstemmed | Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators |
| title_short | Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators |
| title_sort | quantitative weighted bounds for littlewood paley functions generated by fractional heat semigroups related with schrodinger operators |
| url | http://dx.doi.org/10.1155/2023/8001131 |
| work_keys_str_mv | AT liyang quantitativeweightedboundsforlittlewoodpaleyfunctionsgeneratedbyfractionalheatsemigroupsrelatedwithschrodingeroperators AT pengtaoli quantitativeweightedboundsforlittlewoodpaleyfunctionsgeneratedbyfractionalheatsemigroupsrelatedwithschrodingeroperators |