| [1] Hörmander L. Translation invariant operators. Ada Math, 1960, 104:93-139
[2] Stein E M. On the functions of Littlewood-Paley, Lusin and Marcinkiewicz. Trans Amer Math Soc, 1958, 88:430-466
[3] Ding Y, Lu S, Yabuta K. A problem on rough parametric Marcinkiewicz function. J Austral Math Soc, 2002, 72:13-21
[4] Al-Salman A, Al-Qassem H. On the Lp boundedness of rough parametric Marcinkiewicz function. J Inequal Pure Appl Math, 2007, 8(4):Art 108
[5] Torchinsky A, Wang S. A note on the Marcinkiewicz integral. Coll Math, 1990, 61/62:235-243
[6] Tang L. Weighted norm inequalities for pseudo-differential operators with smooth symbols and their commutators. Journal of Functional Analysis, 2012, 26:1603-1629
[7] John F, Nirenberg L. On functions of bounded mean oscillation. Comm Pure Appl Math, 1961, 4:415-426
[8] Fan D, Sato G. Weak type (1,1) estimates for Marcinkiewicz integrals with rough kernel. Tohoku Math, 2001, 53:265-284
[9] Ding Y, Fan D, Pan Y. Weighted boundedness for a class of rough Marcinkiewicz integral. Indiana Univ Math, 1999, 48:1037-1055
[10] Ding Y, Lin C. Weighted boundedness for rough Marcinkiewicz integrals with different weights. Nonlinear Analysis, 2010, 72:2159-2169
[11] Muckenhoupt B. Weighted norm inequalities for the Hardy maximal function. Trans Amer Math Soc, 1972, 165:207-226
[12] Pérez C. Endpoint estimates for commutators of singular integral operators. Funct Anal, 1995,128:163-185
[13] Al-Qassem H. Weighted estimates for rough parametric Marcinkiewicz integrals. J Korean Math Soc, 2007, 44(6):1255-1266
[14] Ding Y, Lu S, Zhang P. Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Science in China, 2004, 47(1):83-95 |