Uniform Estimates for Damped Radon Transform on the Plane
Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are studied under mild assumptions on the rotational curvature. The results generalize previously known estimates. Also, they extend sharp estimates known for convolution operators with affine arclength measu...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/582137 |
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| _version_ | 1832559827990085632 |
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| author | Youngwoo Choi |
| author_facet | Youngwoo Choi |
| author_sort | Youngwoo Choi |
| collection | DOAJ |
| description | Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are studied under mild assumptions on the rotational curvature. The results generalize previously known estimates. Also, they extend sharp estimates known for convolution operators with affine arclength measures to the semitranslation-invariant case. |
| format | Article |
| id | doaj-art-50607dff8f6944d3aba2c211dbf322d6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-50607dff8f6944d3aba2c211dbf322d62025-02-03T01:29:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/582137582137Uniform Estimates for Damped Radon Transform on the PlaneYoungwoo Choi0Department of Mathematics, Ajou University, Suwon 443-749, Republic of KoreaUniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are studied under mild assumptions on the rotational curvature. The results generalize previously known estimates. Also, they extend sharp estimates known for convolution operators with affine arclength measures to the semitranslation-invariant case.http://dx.doi.org/10.1155/2013/582137 |
| spellingShingle | Youngwoo Choi Uniform Estimates for Damped Radon Transform on the Plane Abstract and Applied Analysis |
| title | Uniform Estimates for Damped Radon Transform on the Plane |
| title_full | Uniform Estimates for Damped Radon Transform on the Plane |
| title_fullStr | Uniform Estimates for Damped Radon Transform on the Plane |
| title_full_unstemmed | Uniform Estimates for Damped Radon Transform on the Plane |
| title_short | Uniform Estimates for Damped Radon Transform on the Plane |
| title_sort | uniform estimates for damped radon transform on the plane |
| url | http://dx.doi.org/10.1155/2013/582137 |
| work_keys_str_mv | AT youngwoochoi uniformestimatesfordampedradontransformontheplane |