JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 42-50.doi: 10.6040/j.issn.1671-9352.0.2017.567
Previous Articles Next Articles
ZHAO Huan, ZHOU Jiang*
CLC Number:
| [1] | CRUZ-URIBE D, FIORENZA A, MARTELL J M, et al. The boundedness of classical operators on variable Lp spaces[J]. Annales Academiae Scientiarum Fennicae Mathematica, 2006, 31(1):239-264. |
| [2] | IZUKI M. Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization[J]. Analysis Mathematica, 2010, 36(1):33-50. |
| [3] | WANG Hongbin, LIU Zongguang. The Herz-type Hardy spaces with variable exponent and their applications[J]. Taiwanese Journal of Mathematics, 2012, 16(4):1363-1389. |
| [4] | COIFMAN R R, MEYER Y. On commutators of singular integrals and bilinear singular integrals[J]. Transactions of American Mathematical Society, 1975, 212(OCT):315-331. |
| [5] | GRAFSKOS L, TORRES R H. Multilinear Calderón-Zygmund theory[J]. Advances in Mathematics, 2002, 165(1):124-164. |
| [6] | HUANG Aiwu, XU Jingshi. Multilinear singular integrals and commutators in variable exponent Lebesgue spaces[J]. Applied Mathematics: A Journal of Chinese Universities, 2010, 25(1):69-77. |
| [7] | ZHANG Meirong, ZHAO Kai. Multilinear singular integral on Herz-Hardy spaces with variable exponent[J]. Mathematica Applicata, 2017, 30(1):98-104. |
| [8] | KOVÁCIK O, RÁKOSNÍK J. On spaces Lp(x) and Wk,p(x)[J]. Czechoslovak Mathematics, 1991, 41(4):592-618. |
| [9] | ALMEIDA A, DRIHEM D. Maximal, potential and pingular type operators on Herz spaces with variable exponents[J]. Journal of Mathematical Analysis and Application, 2012, 394(2):781-795. |
| [10] | IZUKI M. Fractional integrals on Herz-Morrey spaces with variable exponent[J]. Hiroshima Mathematical Journal, 2010, 40(3):343-355. |
| [11] | IZUKI M. Boundedness of commutators on Herz spaces with variable exponent[J]. Rendiconti Del Circolo Mathematico Di Palermo, 2010, 59(2):199-213. |
| [1] | LU Qiang-de, TAO Shuang-ping. Boundedness of commutators of Calderón-Zygmund operators and fractional integrals in homogeneous grand variable exponent Lebesgue spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(9): 54-58. |
| [2] | YAO Jun-qing, ZHAO Kai. Commutators of fractional integrals on Herz-Morrey spaces with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(11): 100-105. |
| [3] | MA Xiao-jie, ZHAO Kai. Boundedness of commutators of the fractional Hardy operators on weighted spaces with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(11): 106-110. |
| [4] | WANG Jie, QU Meng, SHU Li-sheng. Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 9-18. |
| [5] | WANG Jin-ping, ZHAO Kai. Lipschitz commutators of fractional integrals on Herz-type spaces with variable exponents [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(10): 6-10. |
| [6] | GOU Yin-xia, TAO Shuang-ping, DAI Hui-ping. Weighted estimates of fractional integral with rough kernel and its commutators on Herz-type Hardy Spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(07): 80-87. |
| [7] | LI Hao-jing, CHEN Zheng-li*, LIANG Li-li. Note on the Schrdinger uncertainty relation#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(06): 67-73. |
| [8] | ZHAO Kai, JI Chun-jing, HUANG Zhi. Boundedness of the commutator of some Marcinkiewicz integral on Herz-type Hardy spaces [J]. J4, 2013, 48(6): 1-4. |
| [9] | YAN Yan-zong, SHAO Xu-kui, WANG Su-ping. Boundedness of Marcinkiewicz integral higher commutators with variable kernels on Hardy spaces [J]. J4, 2013, 48(2): 67-71. |
| [10] | DU Hong-shan, ZHANG Lei*. Lipschitz estimates for commutators of oscillatory integral operators [J]. J4, 2012, 47(4): 80-83. |
| [11] | ZHAO Kai, DONG Peng-juan, SHAO Shuai. Weighted boundedness of commutators of the fractional integral on λ-central Morrey spaces [J]. J4, 2011, 46(12): 88-92. |
|
||
