|
 estimates for oscillatory integral operators
Author(s):
Leslie
C.
Cheng;
Yibiao
Pan
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2995-3002.
MSC (1991):
Primary 42A38;
Secondary 42A50
Posted:
May 3, 1999
MathSciNet review:
1625721
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
An endpoint boundedness result is established for a class of oscillatory integral operators.
References:
- 1.
- Coifman, R. and Fefferman, C., Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250. MR 50:10670
- 2.
- García-Cuerva, J. and Rubio de Francía, J.L., Weighted norm inequalities and related topics, North-Holland Math. Studies, No. 114, 1985. MR 87d:42023
- 3.
- Hunt, R., Muckenhoupt, B. and Wheeden, R., Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc. 176 (1973), 227-251. MR 47:701
- 4.
- Muckenhoupt, B., Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. MR 45:2461
- 5.
- Pan, Y., Uniform estimates for oscillatory integral operators, Jour. Func. Anal. 100 (1991), 207-220. MR 93f:42034
- 6.
- Pan, Y., Sampson, G. and Szeptycki, P.,
 and  estimates for oscillatory integrals and their extended domains, Studia Math. 122 (1997), 201-224. MR 98b:42013 - 7.
- Phong, D.H. and Stein, E.M., Hilbert integrals, singular integrals, and Radon transforms I., Acta Math. 157 (1986), 99-157. MR 88i:42028a
- 8.
- Phong, D.H. and Stein, E.M., On a stopping process for oscillatory integrals, Jour. Geom. Anal. 4 (1994), 105-120. MR 95k:42025
- 9.
- Ricci, F. and Stein, E.M., Harmonic analysis on nilpotent groups and singular integrals I: Oscillatory integrals, Jour. Func. Anal. 73 (1987), 179-194. MR 88g:42023
- 10.
- Stein, E.M., Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals, Princeton University Press, Princeton, NJ, 1993. MR 95c:42002
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
42A38,
42A50
Retrieve articles in all Journals with
MSC (1991):
42A38,
42A50
Additional Information:
Leslie
C.
Cheng
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Yibiao
Pan
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
DOI:
10.1090/S0002-9939-99-05048-0
PII:
S 0002-9939(99)05048-0
Received by editor(s):
January 8, 1998
Posted:
May 3, 1999
Additional Notes:
The second author was supported in part by NSF Grant DMS-9622979
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1999,
American Mathematical Society
|
