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Mixed norm estimates for certain generalized Radon transforms

Author(s): Michael Christ; M. Burak Erdogan
Journal: Trans. Amer. Math. Soc. 360 (2008), 5477-5488.
MSC (2000): Primary 44A12; Secondary 47G10
Posted: April 9, 2008
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Abstract | References | Similar articles | Additional information

Abstract: We obtain essentially optimal local mixed norm inequalities for certain generalized Radon transforms defined by integration over curves.


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Additional Information:

Michael Christ
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
Email: mchrist@math.berkeley.edu

M. Burak Erdogan
Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
Email: berdogan@math.uiuc.edu

DOI: 10.1090/S0002-9947-08-04548-0
PII: S 0002-9947(08)04548-0
Received by editor(s): September 7, 2005
Received by editor(s) in revised form: November 9, 2006
Posted: April 9, 2008
Additional Notes: The first and second authors were partially supported by NSF grants DMS-040126 and DMS-0540084, respectively.
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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