Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces
We establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy space H1(Rn). The logarithmic rate of growth is the best possible.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1570109 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549369238257664 |
|---|---|
| author | Hussain Al-Qassem Leslie Cheng Yibiao Pan |
| author_facet | Hussain Al-Qassem Leslie Cheng Yibiao Pan |
| author_sort | Hussain Al-Qassem |
| collection | DOAJ |
| description | We establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy space H1(Rn). The logarithmic rate of growth is the best possible. |
| format | Article |
| id | doaj-art-3b0d6251bf6f4fc184ff91c475181d3e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3b0d6251bf6f4fc184ff91c475181d3e2025-02-03T06:11:27ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/15701091570109Logarithmic Bounds for Oscillatory Singular Integrals on Hardy SpacesHussain Al-Qassem0Leslie Cheng1Yibiao Pan2Department of Mathematics and Physics, Qatar University, Doha, QatarDepartment of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, USADepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USAWe establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy space H1(Rn). The logarithmic rate of growth is the best possible.http://dx.doi.org/10.1155/2016/1570109 |
| spellingShingle | Hussain Al-Qassem Leslie Cheng Yibiao Pan Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces Journal of Function Spaces |
| title | Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces |
| title_full | Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces |
| title_fullStr | Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces |
| title_full_unstemmed | Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces |
| title_short | Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces |
| title_sort | logarithmic bounds for oscillatory singular integrals on hardy spaces |
| url | http://dx.doi.org/10.1155/2016/1570109 |
| work_keys_str_mv | AT hussainalqassem logarithmicboundsforoscillatorysingularintegralsonhardyspaces AT lesliecheng logarithmicboundsforoscillatorysingularintegralsonhardyspaces AT yibiaopan logarithmicboundsforoscillatorysingularintegralsonhardyspaces |