Lpestimates for maximal functions and Hilbert transforms along flat convex curves in R2

Bulletin of the American Mathematical Society

Volumn 14, Issue 2, 1986, Pages 263-267

  Carlsson, Hasse ^a,b,d,e,f   Christ, Michael ^a,b,d,e,f   Cordoba, Antonio ^a,b,c,d,e,f   Duoandikoetxea, Javier ^a,b,c,d,e,f   De Francia, Jose L Rubio ^a,b,c,d,e,f   Vance, James ^a,b,d,e,f   Wainger, Stephen ^a,b,d,e,f   Weinberg, David ^a,b,d,e,f  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b PRINCETON UNIVERSITY   (United States)

^c UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^d WRIGHT STATE UNIVERSITY   (United States)

^e UNIVERSITY OF WISCONSIN MADISON   (United States)

^f TEXAS TECH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968484376     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1986-15433-9     Document Type: Article

References (9)

1. M. Christ, Hilbert transforms along curves, II: A flat case, Duke Math. J. (to appear).
2. pbounds for Hilbert transforms along convex curves, Invent. Math. (to appear).
3. J. Duoandikoetxea and J. L. Rubio de Francia (to appear).
4. C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107–115.
5. A. Nagel, E. M. Stein, and S. Wainger, Differentiation in lacunary directions, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 1060–1062.
6. A. Nagel, J. Vance, S. Wainger, and D. Weinberg, Hilbert transforms for convex curves, Duke Math. J. 50 (1983), 735–744.
7. ——, Maximal functions for convex curves, Duke Math. J. (to appear).
8. A. Nagel and S. Wainger, Hilbert transforms associated with plane curves, Trans. Amer. Math. Soc. 223 (1976), 235–252.
9. E. M. Stein and S. Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), 1239–1295.