期刊文献+

Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces

Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces
原文传递
导出
摘要 In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n(m, n ≥ 2) are studied. The LP-boundedness for such operators are established under rather weak size conditions of the kernels, which essentially improve or extend certain previous results. In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n(m, n ≥ 2) are studied. The LP-boundedness for such operators are established under rather weak size conditions of the kernels, which essentially improve or extend certain previous results.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第7期1231-1244,共14页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 11071200) Natural Science Foundation of Fujian Province (Grant No. 2010J01013)
关键词 Marcinkiewicz integrals non-isotropic dilations maximal functions rough kernels product spaces Marcinkiewicz integrals, non-isotropic dilations, maximal functions, rough kernels, product spaces
  • 相关文献

参考文献4

二级参考文献24

  • 1胡国恩,陆善镇,燕敦验.L^p(R^m× R^n) boundedness for the Marcinkiewicz integral on product spaces[J].Science China Mathematics,2003,46(1):75-82. 被引量:7
  • 2A1-Qassem, H., A1-Salman, A., Cheng, L. C., et al.: Marcinkiewicz integrals on product spaces. Studia Mathematica, 167, 227-234 (2005). 被引量:1
  • 3Al-Salman, A., A1-Qassem, H.: Integral operators of Marcinkiewicz type. J. Integral Equations Appl., 14(4), 343-354 (2002). 被引量:1
  • 4Marcinkiewicz, J.: Sur quelques integrals de type de Dini. Annales de la Societe Polonaise, 17, 42-50 (1938). 被引量:1
  • 5Sato, S.: Remarks on square functions in the Littlewood Paley theory. Bull. Austral. Math. Soc., 58, 199 211 (1998). 被引量:1
  • 6Choi, Y.: Marcinkiewicz integrals with rough homogeneous kernel of degree zero in product domains. J. Math. Anal. Appl., 261, 53-60 (2001). 被引量:1
  • 7Ding, Y., Fan, D., Pan, Y.: On the Lp boundedness of Marcinkiewicz integrals. Michigan. Math. J., 50, 17-26 (2002). 被引量:1
  • 8Ding, Y., Fan, D., Pan, Y.: Lp boundedness of Marcinkiewicz integrals with Hardy space function kernel. Acta Mathematica Sinica, English Series, 16, 593-600 (2000). 被引量:1
  • 9Stein, E. M.: On the functions of Littlewood-Paley, Lnsin and Marcinkiewicz. Trans. Amer. Math. Soc., 88, 430-466 (1958). 被引量:1
  • 10Walsh, T.: On the function of Marcinkiewicz. Studia Math., 44, 203-217 (1972). 被引量:1

共引文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部