Acknowledgement
Supported by : National Research Foundation of Korea(NRF)
References
-
O. Beznosova, Linear bound for dyadic paraproduct on weighted Lebesgue space
$L^2(w)$ , J. Func. Anal. 255 4 (2008) 994-1007 https://doi.org/10.1016/j.jfa.2008.04.025 - D. Chung, Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces Indiana Univ. Math. J. 60 (2010) no. 5, 1543-1588 https://doi.org/10.1512/iumj.2011.60.4453
- D. Chung, Weighted inequalities for mutivariable dyadic paraproduct, Publ. Mat. textbf55 (2011), 475-499. https://doi.org/10.5565/PUBLMAT_55211_10
- T. Hytonen, The sharp weighted bound for general Calderon-Zygmund operators, Ann. of Math. 175 (2012), 14731506. https://doi.org/10.4007/annals.2012.175.3.9
-
T. Hytonen, C. Perez, S. Treil, and A. Volberg, Sharp weighted estimates of the Dyadic shifts and
$A_2$ conjecture, J. Reine Angew. Math. 667 (2012) 43-86 -
M. Lacey, S. Petermichl, M. Reguera, Sharp
$A_2$ inequality for Haar shift operators Math. Ann. 348 (2010), no. 1, 127-141. https://doi.org/10.1007/s00208-009-0473-y - F. Nazarov, S. Treil, and A. Volberg, The Bellman functions and two-weight inequalities for Haar multipliers, J. Amer. Math. Soc. 12 (1999) 909-928 https://doi.org/10.1090/S0894-0347-99-00310-0
- F. Nazarov, S. Treil, and A. Volberg, Two weight inequlities for individul Haar multi-pliers and other well localized operators, Math Res. Lett. 15 (2008), no. 3 583-597. https://doi.org/10.4310/MRL.2008.v15.n3.a16
-
C. Perez, S. Treil, and A. Volberg, On
$A_2$ conjecture and corona decomposition of weights arXiv:1006.2630 (2010) - S. Petermichl, The sharp bound for the Hilbert transform on weighted Lebesgue space in terms of the classical Ap characteristic, Amer. J. of Math. 129 (2007) 1355-1375 https://doi.org/10.1353/ajm.2007.0036
- S. Petermichl, The sharp weighted bound for the Riesz transfroms, Proc. Amer. Math. Soc. 136 (2008) 1237-1249
- J. Wittwer, A sharp estimate on the norm of Martingale transform, Math. Res. Lett. no. 7 (2000) 1-12