A uniform estimate

Annals of Mathematics

Volumn 156, Issue 2, 2002, Pages 519-563

  Thiele, Christoph ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036761534     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/3597197     Document Type: Article

References (14)

1. A. Calderón, Commutators of singular integral operators, Proc. Nat. Acad. Sci. USA 53 (1965), 1092-1099.
2. J. Gilbert and A. Nahmod, Bilinear operators with non-smooth symbol. I, J. Fourier Anal. Appl. 7 (2001), 435-467.
3. L. Grafakos, and X. Li, Uniform bounds for the bilinear Hilbert transforms. I, preprint.
4. _, The disc as bilinear multiplier, preprint.
5. S. Janson, On interpolation of multilinear operators, in Function Spaces and Applications (Cwikel, Peetre, Sagher, and Wallin, eds.) (Proc. Lund, 1986), Lecture Notes in Math. 1302 (1988), 290-302.
6. p-estimates on the bilinear Hilbert transform for 2 < p < ∞, Ann. of Math. 146 (1997), 693-724.
7. p-estimates for the bilinear Hilbert transform, Proc. Natl. Acad. Sci. USA 94 (1997), 33-35.
8. _, On Calderón's conjecture, Ann. of Math. 149 (1999), 475-496.
9. _, On Calderón's conjecture for the bilinear Hilbert transform, Proc. Natl. Acad. Sci. USA 95 (1998), 4828-4830.
10. X. Li, Uniform bounds for the bilinear Hilbert transforms. II, preprint.
11. Y. Meyer and R. Coifman, Wavelets. Calderón-Zygmund Operators and Multilinear Operators, Cambridge Studies in Adv. Math. 48, Cambridge Univ. Press, Cambridge, 1997.
12. p-estimates for multi-linear operators given by singular symbols, Ph.D. Thesis, Brown University, 2000.
13. C. Muscalu, T. Tao, and C. Thiele, Uniform estimates on multi-linear operators with modulation symmetry, preprint.
14. C. Thiele, On the bilinear Hilbert transform, Habilitationsschrift, Christian Albrechts Universität, Kiel, 1998.