期刊文献+

参数型Marcinkiewicz积分在齐次Morrey-Herz空间上的有界性 被引量:1

Boundedness of Parametric Marcinkiewicz Integrals with Variable Kernels on Homogeneous Morrey-Herz Spaces
下载PDF
导出
摘要 证明了带可变核的参数型Marcinkiewicz积分算子μΩρ在齐次Morrey-Herz空间MKαp,,qλ(Rn)及其在弱齐次Morrey-Herz空间WMKαλ,p,1(Rn)上的有界性,拓宽了以往的结果. The study is conducted on the continuity of the parametric Marcinkiewicz integrals with variable kernels μΩρ on homogeneous Morrey-Herz spacesMKp,qα,λ and weak Morrey-Herz spacesWMKp,1α,λ which extends results that have been achieved in previous research.
出处 《宁波大学学报(理工版)》 CAS 2009年第3期378-382,共5页 Journal of Ningbo University:Natural Science and Engineering Edition
基金 国家自然科学基金(10771110) 宁波市自然科学基金(2006A610090)
关键词 参数型Marcinkiewicz积分算子 可变核 齐次MORREY-HERZ空间 parametric Marcinkiewicz integral variable kernels homogeneous Morrey-Herz spaces
  • 相关文献

参考文献8

  • 1Hormander L. Translation invaricant operator[J]. Acta Math, 1960, 104:93-139.
  • 2Sakamoto M, Yabuta K. Boundness of Marcinkiewicz functions[J]. Studia Math, 1999, 135:103-142.
  • 3Xue Qingying, Kozo Y. L^2-boundedness of Marcinkiewicz integrals along surfaces with variable kernels: Another sufficient condition[J]. J Ineq Appl, 2007, 15:1-14.
  • 4Lu Shanzhen, Yang Dachun, Zhou Zusheng. Sublinear operators with rough kernel on generalized Morrey space[J]. Hokkaido Mathematical Journal, 1998, 27(1):83-95.
  • 5Lu Shanzhen, Xu Lifang. Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces[J]. Hokkaido Mathematical Journal, 2005, 34(2): 299-314.
  • 6Hu Guoen, Lu Shanzhen, Yang Dacchun. Boundedness of rough singular integral operators on homogeneous Herz spaces[J]. J Austral Math Soc(Series A), 1999, 66:201-223.
  • 7Muckenhoupt B, Wheeden R L. Weighted norm inequalities for singular and fractional integrals[J]. Trans Amer Math Soc, 1971, 161:249-261.
  • 8Ding Ying, Lu Shenzhen, Kozo Y. A problem on rough parametric Marcinkiewicz functions[J]. J Austr Math Soc, 2002, 72: 13-21.

同被引文献6

引证文献1

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