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Mixed norm estimates for a restricted X-ray transform

Christ, Michael and Erdoğan, M. Burak (2002) Mixed norm estimates for a restricted X-ray transform. Journal d'Analyse Mathématique, 87 (1). pp. 187-198. ISSN 0021-7670. doi:10.1007/bf02868473. https://resolver.caltech.edu/CaltechAUTHORS:20200324-103910108

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Abstract

In this paper, we establish optimal mixed norm inequalities, except for endpoints, for a certain restricted X-ray transform in arbitrary dimensions. In doing so, we demonstrate that a method [2] applied heretofore only to simpler nonmixed norm estimates can also be adapted to the mixed norm case.


Item Type:Article
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URLURL TypeDescription
https://doi.org/10.1007/bf02868473DOIArticle
https://rdcu.be/b3deYPublisherFree ReadCube access
Additional Information:© 2002 Springer. Received March 7, 2001. The first author was supposed in part by NSF grant DMS-9970660 and performed this research while on appointment as a Miller Research Professor in the Miller Institute for Basic Research in Science.
Funders:
Funding AgencyGrant Number
NSFDMS-9970660
Miller Institute for Basic Research in ScienceUNSPECIFIED
Issue or Number:1
DOI:10.1007/bf02868473
Record Number:CaltechAUTHORS:20200324-103910108
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200324-103910108
Official Citation:Christ, M., Erdogan, M.B. Mixed norm estimates for a restricted X-ray transform. J. Anal. Math. 87, 187–198 (2002). https://doi.org/10.1007/BF02868473
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102080
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Mar 2020 18:39
Last Modified:16 Nov 2021 18:08

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