[1] Hardy G H. Note on a theorem of Hilbert. Math Z, 1920, 6: 314--317
[2] Anderson K, Muckenhoupt B. Weighted weak type Hardy inequalities with application to Hilbert transforms and maximal functions. Studia Math, 1982, 72: 9--26
[3] Bliss G A. An integral inequality. J London Math Soc, 1930, 317(5): 40--46
[4] Edmunds D, Gurka P, Pick L. Compactness of Hardy type operators in weighted Banach function spaces. Studia Math, 1994, 109(1): 73--90
[5] Fu Z, Liu Z, Lu S, Wang H. Characterization for commutators of n-dimensional fractional Hardy operators. Sci China (Ser A-Math), 2007, 50(10): 1418--1426
[6] Fu Z, Lu S. Commutators of generalized Hardy operators. Math Nachr (in press)
[7] Folland G B, Stein E M. Hardy spaces on homogeneous groups. Math Notes 28. Princeton, NJ: Princeton Univ Press and Univ Tokyo Press, 1982
[8] Stein E M. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Princeton, NJ: Univ Press, 1993
[9] Jiang Y. New Hardy spaces associated with Herz spaces and Beurling algebra on homogeneous groups. Acta Math Sinica (English Ser), 2002, 18(4): 661--670
[10] Muckenhoupt B. Hardy's inequality with weight. Studia Math, 1972, 44: 31--38
[11] Rakotondratsimba Y. On the boundedness of classical operator on weighted Lorentz spaces. Georgian Math J, 1998, 5: 177--200
[12] Xiao J. Lp and BMO bounds of weighted Hardy-Littlewood averages. J Math Anal Appl, 2001, 262: 600--666
[13] Kokilashvili V, Meskhi A. Two weighted inequalities for integral operators in Lorentz spaces defined on homogeneous groups. Georgian Math J, 1999, 6(1): 65--82 |