[1] Adams D R. A note on Riesz potentials. Duke Math J, 1975, 42(4): 765-778
[2] Alvarez J, Lakey J, Guzmán-Partida M. Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures. Collect Math, 2000, 51(11): 147
[3] Andersen K F. Boundedness of Hausdorff operator on Lp(Rn), H1(Rn) and BMO(Rn). Acta Sci Math (Szeged), 2003, 69(1/2): 409-418
[4] Bradley J S. Hardy inequalities with mixed norms. Canad Math Bull, 1978, 21(4): 405-408
[5] Carton-Lebrun C, Fosset M. Moyennes et quotients de Taylor dans BMO. Bull Soc Roy Sci Li`ege, 1984, 53(2): 85-87
[6] Chiarenza F, Frasca M. Morrey spaces and Hardy-Littlewood maximal function. Rend Math Appl, 1987, 7(3/4): 273-279
[7] Chuong N M, Hung H D. Bounds of weighted Hardy-Cesàro operators on weighted Lebesgue and BMO spaces. Integral Transforms Spec Funct, 2014, 25(9): 697-710
[8] Christ M, Grafakos L. Best constants for two nonconvolution inequalities. Proc Amer Math Soc, 1995, 123(6): 1687-1693
[9] Coifman R R, Rochberg R, Weiss G. Factorization theorems for Hardy spaces in several variables. Ann Math, 1976, 103(3): 611-635
[10] Edmunds D E, Evans W D. Hardy Operators, Function Spaces and Embeddings. Springer Monographs in Mathematics. Berlin: Springer-Verlag, 2004
[11] Faris W G. Weak Lebesgue spaces and quantum mechanical binding. Duke Math J, 1976, 43(2): 365-373
[12] Folland G B. Real Analysis: Modern Techniques and Their Applications: Pure and Applied Mathematics. 2nd ed. New York: John Wiley & Sons, Inc, 1999
[13] Fu Z W, Liu Z G, Lu S Z. Commutators of weighted Hardy operators on Rn. Proc Amer Math Soc, 2009, 137(10): 3319-3328
[14] Fu Z W, Gong S L, Lu S Z, Yuan W. Weighted multilinear Hardy operators and commutators. Forum Math, 2014, DOI: 10.1515/forum-2013-0064
[15] Fu Z W, Grafakos L, Lu S Z, Zhao F. Sharp bounds for m-linear Hardy and Hilbert operators. Houston J Math, 2012, 38(1): 225-244
[16] Goldberg R R. Convolutions and general transforms on Lp. Duke Math J, 1960, 27: 251-259
[17] Gong S L, Fu Z W, Ma B. Weighted multilinear Hardy operators on Herz type spaces. The Scientific World Journal, 2014, Art ID 420408
[18] Grafakos L. Classical Fourier Analysis. Graduate Texts in Mathematics, 249. 2nd ed. New York: Springer, 2008
[19] Grafakos L, Martell J M. Extrapolation of weighted norm inequalities for multivariable operators and applications. J Geom Anal, 2004, 14(1): 19-46
[20] Hardy G H, Littlewood J E, Pólya G. Inequalities: 2nd ed. Cambridge: Cambridge University Press, 1952
[21] Hung H D. The P-adic weighted Hardy-Cesàro operator and an application to discrete Hardy inequalities. J Math Anal Appl, 2014, 409: 868-879
[22] John F, Nirenberg L. On functions of bounded mean oscillation. Comm Pure Appl Math, 1961, 14: 415-426
[23] Kenig C, Stein E M. Multilinear estimates and fractional integration. Math Res Lett, 1999, 6: 1-15
[24] Komori Y, Shirai S. Weighted Morrey spaces and a singular integral operator. Math Nachr, 2009, 282(2): 219-231
[25] Liflyand E, Móricz F. The Hausdorff operator is bounded on the real Hardy space H1(R). Proc Amer Math Soc, 2000, 128(5): 1391-1396
[26] Lerner A K, Liflyand E. Multidimensional Hausdorff operators on the real Hardy space. J Aust Math Soc, 2007, 83(1): 79-86
[27] Lu S Z, Yang D C. The central BMO spaces and Littlewood-Paley operators. Approx Theory Appl (NS), 1995, 11(3): 72-94
[28] Lu S Z, Yan D, Zhao F. Sharp bounds for Hardy type operators on higher-dimensional product spaces. J Inequal Appl, 2013, 2013: 148
[29] Muckenhoupt B. Hardy's inequalities with weights. Studia Math, 1972, 44: 31-38
[30] Sawyer E. Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator. Trans Amer Math Soc, 1984, 281(1): 329-337
[31] Xiao J. Lp and BMO bounds of weighted Hardy-Littlewood averages. J Math Anal Appl, 2001, 262(2): 660-666 |