Oscillatory integrals related to Carleson's theorem

Mathematical Research Letters

Volumn 8, Issue 5-6, 2001, Pages 789-800

  Stein, Elias M ^a   Wainger, Stephen ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035527921     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2001.v8.n6.a9     Document Type: Article

References (9)

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3. [CCW] A. Carbery, M. Christ, and J. Wright, Multi-dimensional van der Corput and sub-level set estimates, J. Amer. Math. Soc. 12 (1999), no. 4, 981-1015.
4. [L] M.T. Lacey, Carleson's theorem with quadratic phase functions, preprint.
5. [LT] M. Lacey and C. Thiele, A proof of the boundedness of the Carleson operator, Math. Res. Lett. 7 (2000), no. 4, 361-370.
6. [RS] F. Ricci and E. Stein, Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals. J. Funct. Anal. 73 (1987), no. 1, 179-194.
7. [Sj] P. Sjölin, Convergence almost everywhere of certain singular integrals and multiple Fourier series, Ark. Mat. 9, 65-90. (1971).
8. [St1] E.M. Stein, Oscillatory integrals related to Radon-like transforms. Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993). J. Fourier Anal. Appl. 1995, Special Issue, 535-551.
9. [St2] E.M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. With the assistance of Timothy S. Murphy. Princeton Mathematical Series, 43. Monographs in Harmonic Analysis, III. Princeton University Press, Princeton, NJ, 1993.