Some remarks on singular oscillatory integrals and convolution operators
HTML articles powered by AMS MathViewer
- by Per Sjölin PDF
- Proc. Amer. Math. Soc. 145 (2017), 3843-3848 Request permission
Abstract:
In this note we study the relation between oscillatory integral operators and convolution operators, and also the sharpness of $L^p$-estimates for singular oscillatory integral operators.References
- Hayk Aleksanyan, Henrik Shahgholian, and Per Sjölin, $L^2$-estimates for singular oscillatory integral operators, J. Math. Anal. Appl. 441 (2016), no. 2, 529–548. MR 3491541, DOI 10.1016/j.jmaa.2016.04.031
- Lennart Carleson and Per Sjölin, Oscillatory integrals and a multiplier problem for the disc, Studia Math. 44 (1972), 287–299. (errata insert). MR 361607, DOI 10.4064/sm-44-3-287-299
- P. Sjölin, $L^p$-estimates for singular oscillatory integral operators, Preprint (2016)
- Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
Additional Information
- Per Sjölin
- Affiliation: Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden
- Email: persj@kth.se
- Received by editor(s): June 24, 2016
- Published electronically: May 24, 2017
- Communicated by: Alexander Iosevich
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3843-3848
- MSC (2010): Primary 42B20
- DOI: https://doi.org/10.1090/proc/13663
- MathSciNet review: 3665037