[1] Ková A?G1 ik O, Rákosník J. On spaces Lp(x) and Wk,p(x)[J]. Czechoslovak Math J, 1991, 41(4):592-618.
[2] Capone C, Cruz-Uribe D, Fiorenza A. The fractional maximal operators and fractional integrals on variable Lp spaces[J]. Rev Mat Iberoamericana, 2007, 23(3):743-770.
[3] Cruz-Uribe D, Fiorenza A. Variable Lebesgue spaces:foundations and harmonic analysis (applied and numerical harmonic analysis)[M]. Heidelberg:Springer, 2013.
[4] Cruz-Uribe D, Fiorenza A, Martell J M, et al. The boundedness of classical operators on variable Lp spaces[J]. Ann Acad Sci Fen Math, 2006, 31(1):239-264.
[5] Diening L, Harjulehto P, Hästö P, et al. Lebesgue and Sobolev spaces with variable exponents[M]//Lecture Notes in Math, vol.2017. Heidelberg:Springer, 2011.
[6] Wang H, Fu Z, Liu Z. Higher-order commutators of Marcinkiewicz integrals and fractional integrals on variable Lebesgue spaces[J]. Acta Math Sci Ser A Chin Ed, 2012, 32(6):1092-1101.
[7] Izuki M. Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization[J]. Anal Math, 2010, 36(1):33-50.
[8] Wang H, Liu Z. The Herz-type Hardy spaces with variable exponent and their applications[J]. Taiwanese J Math, 2012, 16(4):1363-1389.
[9] Wang H. The continuity of commutators on Herz-type Hardy spaces with variable exponent[J]. Kyoto J Math, 2016, 56(3):559-573.
[10] Wang H. Boundedness of commutators on Herz-type Hardy spaces with variable exponent[J]. Jordan J Math Stat, 2016, 9(1):17-30.
[11] Wang H. Commutators of singular integral operator on Herz-type Hardy spaces with variable exponent[J]. J Korean Math Soc, 2017, 54(3):713-732.
[12] Wang H. Commutators of homogeneous fractional integrals on Herz-type Hardy spaces with variable exponent[J]. J Contemp Math Anal, 2017, 52(3):134-143.
[13] Stein E M. On the function of Littlewood-Paley, Lusin and Marcinkiewicz[J]. Trans Amer Math Soc, 1958, 88(2):430-466.
[14] Liu Z, Wang H. Boundedness of Marcinkiewicz integrals on Herz spaces with variable exponent[J]. Jordan J Math Stat, 2012, 5(4):223-239.
[15] Tan J, Liu Z. Some boundedness of homogeneous fractional integrals on variable exponent function spaces[J]. Acta Math Sinica (Chin Ser), 2015, 58(2):309-320.
[16] Wu H, Lan J. Lipschitz estimates for fractional multilinear singular integral on variable exponent Lebesgue spaces[J/OL]. Abstract and Applied Analysis, 2013, Article ID 632384. http://dx.doi.org/10.1155/2013/632384.
[17] Nakai E, Sawano Y. Hardy spaces with variable exponents and generalized Campanato spaces[J]. J Funct Anal, 2012, 262(9):3665-3748.
[18] Lu S, Ding Y, Yan D. Singular integrals and related topics[M]. Beijing:World Scientific Press, 2011.
[19] Wang H, Liu Z. Some characterizations of Herz-type Hardy spaces with variable exponent[J]. Ann Funct Anal, 2015, 6(2):224-233. |