References
K. I. Babenko, Dokl. Akad. Nauk SSSR 62, 157–160 (1948).
R. Hunt, B. Muckenhoupt, and R. Wheeden, Trans. Am. Math. Soc. 176, 227–251 (1973).
G. H. Hardy and J. E. Littlewood, Duke Math. J. 2, 354–382 (1936).
T. M. Flett, Proc. London Math. Soc. 8, 135–148 (1958).
K. Andersen, Proc. Am. Math. Soc. 56, 99–107 (1976).
E. Liflyand and S. Tikhonov, C.R. Math. Acad. Sci. Paris, Ser. I 348, 1253–1258 (2010).
R. E. A. C. Paley and N. Wiener, Trans. Am. Math. Soc. 35, 354–355 (1933).
A. Zygmund, Trans. Am. Math. Soc. 36, 586–617 (1934).
D. Cruz-Uribe, J. M. Martell, and C. Pérez, Adv. Math. 216, 647–676 (2007).
M. Lacey, E. Sawyer, and I. Uriarte-Tuero, arXiv: math/1001.4043.
F. Nazarov, S. Treil, and A. Volberg, arXiv: math/1003.1596.
M. L. Gol’dman, Proc. Steklov Inst. 232, 109–137 (2001) Math. [Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 232, 115–143 (2001)].
V. D. Stepanov, Trans. Am. Math. Soc. 338, 173–186 (1993).
M. Johansson, V. D. Stepanov, and E. P. Ushakova, Math. Inequal. Appl. 11, 393–413 (2008).
K. Andersen, Canad. Math. Bull. 20, 9–16 (1977).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.D. Stepanov, S.Yu. Tikhonov, 2011, published in Doklady Akademii Nauk, 2011, Vol. 437, No. 5, pp. 606–608.
Rights and permissions
About this article
Cite this article
Stepanov, V.D., Tikhonov, S.Y. Two-weight inequalities for the Hilbert transform of monotone functions. Dokl. Math. 83, 241–242 (2011). https://doi.org/10.1134/S1064562411020359
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562411020359