Bi-parameter paraproducts

Acta Mathematica

Volumn 193, Issue 2, 2004, Pages 269-296

  Muscalu, Camil ^a,d   Tao, Terence ^b   Pipher, Jill ^c   Thiele, Christoph ^b  

^a Cornell University ^*  (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c BROWN UNIVERSITY   (United States)

^d INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18444396627     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392566     Document Type: Article

References (18)

1. AUSCHER, P., HOFMANN, S., MUSCALU, C., TAO, T. & THIELE, C., Carleson measures, trees, extrapolation, and T(b) theorems. Publ. Mat., 46 (2002), 257-325.
2. p-theory on product domains. Bull. Amer. Math. Soc., 12 (1985), 1-43.
3. CHRIST, M. & JOURNÉ, J.-L., Polynomial growth estimates for multilinear singular integral operators. Acta Math., 159 (1987), 51-80.
4. FEFFERMAN, C., On the divergence of multiple Fourier series. Bull. Amer. Math. Soc., 77 (1971), 191-195.
5. FEFFERMAN, C. & STEIN, E. M., Some maximal inequalities. Amer. J. Math., 93 (1971), 107-115.
6. FERGUSON, S. &: LACEY, M., A characterization of product BMO by commutators. Acta Math., 189 (2002), 143-160.
7. GRAFAKOS, L. & TORRES, R. H., Multilinear Calderón-Zygmund theory. Adv. Math., 165 (2002), 124-164.
8. JOURNÉ, J.-L., Calderón-Zygmund operators on product spaces. Rev. Mat. Iberoamericana, 1 (1985), 55-91.
9. KATO, T. & PONCE, G., Commutator estimates and the Euler and Navier-Stokes equations. Comm. Pure Appl. Math., 41 (1988), 891-907.
10. KENIG, C. E., On the local and global well-posedness theory for the KP-I equation. Preprint, 2003.
11. KENIG, C. E. & STEIN, E. M., Multilinear estimates and fractional integration. Math. Res. Lett., 6 (1999), 1-15.
12. LACEY, M. & THIELE, C., On Calderón's conjecture. Ann. of Math., 149 (1999), 475-496.
13. MEYER, Y. & COIFMAN, R. R., Ondelettes et opérateurs, III: Opérateurs multilinéaires. Hermann, Paris, 1991.
14. MUSCALU, C., TAO, T. & THIELE, C., Multilinear operators given by singular multipliers. J. Amer. Math. Soc., 15 (2002), 469-496.
15. _ A counterexample to a multilinear endpoint question of Christ and Kiselev. Math. Res. Lett., 10 (2003), 237-246.
16. p estimates for the "biest", II: The Fourier case. Math. Ann., 329 (2004), 427-461.
17. PIPHER, J., Journé's covering lemma and its extension to higher dimensions. Duke Math. J., 53 (1986), 683-690.
18. STEIN, E. M., Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton Math. Ser., 43. Princeton Univ. Press, Princeton, NJ, 1993.