1 |
S. M. Buckley, Estimates for operator norms on weighted spaces and reverse Jensen inequalities, Trans. Amer. Math. Soc. 340 (1993), no. 1, 253-272.
DOI
|
2 |
A. Bui, J. Conde-Alonso, X. T. Duong, and M. Hormozi, Weighted bounds for multilinear operators with non-smooth kernels, arxiv:1506.07752.
|
3 |
A.-P. Calderon, Commutators of singular integral operators, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1092-1099.
DOI
|
4 |
C. P. Calderon, On commutators of singular integrals, Studia Math. 53 (1975), no. 2, 139-174.
DOI
|
5 |
D. Chung, M. C. Pereyra, and C. Perez, Sharp bounds for general commutators on weighted Lebesgue spaces, Trans. Amer. Math. Soc. 364 (2012), no. 3, 1163-1177.
DOI
|
6 |
R. R. Coifman and Y. Meyer, On commutators of singular integrals and bilinear singular integrals, Trans. Amer. Math. Soc. 212 (1975), 315-331.
DOI
|
7 |
R. R. Coifman and Y. Meyer, Au dela des operateurs pseudo-differentiels, Asterisque, 57, Societe Mathematique de France, Paris, 1978.
|
8 |
D. Cruz-Uribe, J. M. Martell, and C. Perez, Sharp weighted estimates for classical operators, Adv. Math. 229 (2012), no. 1, 408-441.
DOI
|
9 |
W. Damian, M. Hormozi, and K. Li, New bounds for bilinear Calderon-Zygmund operators and applications, arxiv:1512.02400.
|
10 |
O. Dragicevic, L. Grafakos, M. Pereyra, and S. Petermichl, Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces, Publ. Mat. 49 (2005), 73-91.
DOI
|
11 |
X. Duong, R. Gong, L. Grafakos, J. Li, and L. Yan,, Maximal operator for multilinear singular integrals with non-smooth kernels, Indiana Univ. Math. J. 58 (2009), no. 6, 2517-2541.
DOI
|
12 |
X. T. Duong, L. Grafakos, and L. Yan, Multilinear operators with non-smooth kernels and commutators of singular integrals, Trans. Amer. Math. Soc. 362 (2010), no. 4, 2089-2113.
DOI
|
13 |
C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115.
DOI
|
14 |
J. M. Conde-Alonso and G. Rey, A pointwise estimate for positive dyadic shifts and some applications, Math. Ann. 365 (2016), no. 3-4, 1111-1135.
DOI
|
15 |
L. Grafakos, Modern Fourier Analysis, second edition, Graduate Texts in Mathematics, 250, Springer, New York, 2009.
|
16 |
G. Hu and K. Li, Weighted vector-valued inequalities for a class of multilinear singular integral operators, Proc. Edinb. Math. Soc., to appear.
|
17 |
L. Grafakos, L. Liu, and D. Yang, Multiple-weighted norm inequalities for maximal multi-linear singular integrals with non-smooth kernels, Proc. Roy. Soc. Edinburgh Sect. A 141 (2011), no. 4, 755-775.
DOI
|
18 |
L. Grafakos and R. H. Torres, Multilinear Calderon-Zygmund theory, Adv. Math. 165 (2002), no. 1, 124-164.
DOI
|
19 |
G. Hu and D. Li, A Cotlar type inequality for the multilinear singular integral operators and its applications, J. Math. Anal. Appl. 290 (2004), no. 2, 639-653.
DOI
|
20 |
G. E. Hu and Y. P. Zhu, Weighted norm inequalities with general weights for the commutator of Calderon, Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 3, 505-514.
DOI
|
21 |
T. P. Hytonen, The sharp weighted bound for general Calderon-Zygmund operators, Ann. of Math. (2) 175 (2012), no. 3, 1473-1506.
DOI
|
22 |
T. P. Hytonen, M. T. Lacey, and C. Perez, Sharp weighted bounds for the q-variation of singular integrals, Bull. Lond. Math. Soc. 45 (2013), no. 3, 529-540.
DOI
|
23 |
T. Hytonen and C. Perez, Sharp weighted bounds involving , Anal. PDE 6 (2013), no. 4, 777-818.
DOI
|
24 |
A. K. Lerner, On pointwise estimates involving sparse operators, New York J. Math. 22 (2016), 341-349.
|
25 |
K. Lerner and F. Nazarov, Intuitive dyadic calculus: the basics, arXiv:1508.05639.
|
26 |
A. Lerner, S. Ombrossi, C. Perez, R. H. Torres, and R. Trojillo-Gonzalez, New maximal functions and multiple weights for the multilinear Calderon-Zygmund theory, Adv. Math. 220 (2009), no. 4, 1222-1264.
DOI
|
27 |
K. Li and W. Sun, Weak and strong type weighted estimates for multilinear Calderon-Zygmund operators, Adv. Math. 254 (2014), 736-771.
DOI
|
28 |
A. K. Lerner, S. Ombrosi, and I. P. Rivera-Rios, On pointwise and weighted estimates for commutators of Calderon-Zygmund operators, Adv. Math. 319 (2017), 153-181.
DOI
|
29 |
K. Li, Sparse domination theorem for mltilinear singular integral operators with -Hormander condition, arxiv:1606.03952.
DOI
|
30 |
K. Li, K. Moen, and W. Sun, The sharp weighted bound for multilinear maximal functions and Calderon-Zygmund operators, J. Fourier Anal. Appl. 20 (2014), no. 4, 751-765.
DOI
|
31 |
B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
DOI
|
32 |
C. Perez, G. Pradolini, R. H. Torres, and R. Trujillo-Gonzalez, End-point estimates for iterated commutators of multilinear singular integrals, Bull. Lond. Math. Soc. 46 (2014), no. 1, 26-42.
DOI
|
33 |
S. Petermichl, The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical characteristic, Amer. J. Math. 129 (2007), no. 5, 1355-1375.
DOI
|
34 |
S. Petermichl, The sharp weighted bound for the Riesz transforms, Proc. Amer. Math. Soc. 136 (2008), no. 4, 1237-1249.
DOI
|
35 |
M. M. Rao and Z. D. Ren, Theory of Orlicz Spaces, Monographs and Textbooks in Pure and Applied Mathematics, 146, Marcel Dekker, Inc., New York, 1991.
|
36 |
E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Mathematical Series, 43, Princeton University Press, Princeton, NJ, 1993.
|