Weighted Estimates for Oscillatory Singular Integrals
We establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators. We allow the singular kernel to be given by a function in the Hardy space , while such results were known previously only for kernels in log , a proper subspace of . One of our results...
| Published in: | Journal of Function Spaces and Applications |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Online Access: | http://dx.doi.org/10.1155/2013/543748 |
| _version_ | 1849453573630328832 |
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| author | H. Al-Qassem L. Cheng A. Fukui Y. Pan |
| author_facet | H. Al-Qassem L. Cheng A. Fukui Y. Pan |
| author_sort | H. Al-Qassem |
| collection | DOAJ |
| container_title | Journal of Function Spaces and Applications |
| description | We establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators. We allow the singular kernel to be given by a function in the Hardy space , while such results were known previously only for kernels in log , a proper subspace of . One of our results established a bound for certain weights. At the same time, it provides a solution to an open problem in Lu (2005). |
| format | Article |
| id | doaj-art-e4cdeb4e242f473bb452e0943792586c |
| institution | Directory of Open Access Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| spelling | doaj-art-e4cdeb4e242f473bb452e0943792586c2025-08-20T03:26:26ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/543748543748Weighted Estimates for Oscillatory Singular IntegralsH. Al-Qassem0L. Cheng1A. Fukui2Y. Pan3Department of Mathematics and Physics, Qatar University, Doha, QatarDepartment of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, USADepartment of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, USADepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USAWe establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators. We allow the singular kernel to be given by a function in the Hardy space , while such results were known previously only for kernels in log , a proper subspace of . One of our results established a bound for certain weights. At the same time, it provides a solution to an open problem in Lu (2005).http://dx.doi.org/10.1155/2013/543748 |
| spellingShingle | H. Al-Qassem L. Cheng A. Fukui Y. Pan Weighted Estimates for Oscillatory Singular Integrals |
| title | Weighted Estimates for Oscillatory Singular Integrals |
| title_full | Weighted Estimates for Oscillatory Singular Integrals |
| title_fullStr | Weighted Estimates for Oscillatory Singular Integrals |
| title_full_unstemmed | Weighted Estimates for Oscillatory Singular Integrals |
| title_short | Weighted Estimates for Oscillatory Singular Integrals |
| title_sort | weighted estimates for oscillatory singular integrals |
| url | http://dx.doi.org/10.1155/2013/543748 |
| work_keys_str_mv | AT halqassem weightedestimatesforoscillatorysingularintegrals AT lcheng weightedestimatesforoscillatorysingularintegrals AT afukui weightedestimatesforoscillatorysingularintegrals AT ypan weightedestimatesforoscillatorysingularintegrals |