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Marcinkiewicz Integrals on the Weighted Herz-Morrey Spaces 被引量：1

Marcinkiewicz Integrals on the Weighted Herz-Morrey Spaces
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摘要 In this paper, the weighted Herz-Morrey spaces are introduced and the estimates for Marcinkiewicz Integrals on the weighted Herz-Morrey spaces are studied.
作者 XIAO Dan SHU Li-sheng
机构地区 Department of Basic Case College of Mathematics and Computer Science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期533-539,共7页 数学季刊（英文版）
基金 Supported by the NSF of China(10371087) Supported by the Education Committee of Anhui Province(2003kj034zd)
关键词 Marcinkiewicz integrals the weighted Herz-Morrey spaces 权 Herz—Morrey空间 Marcinkiewicz算子 函数分析
分类号 O177 [理学—基础数学]
  • 相关文献

参考文献6

  • 1TORCHINSKY A, WANG S. A note on the Marcinkiewicz integral[J]. Coil Math, 1990, 61-62: 235-243.
  • 2DING Yong, FAN Da-shan, PAN Yi-biao. Weighted boundedness for a class of rough Marcinkiewicz integrals [J]. Indiana Univ Math J, 1999, 48: 1037-1055.
  • 3LU Shan-zhen, XU Li-fang. Boundedness of rough singular integral operators on the homogeneous Morrey- Herz spaces[J]. Hokkaido Mathematic Journal, 2005, 34(2): 299-314.
  • 4ZHAO Xiang-qing, GAO Wen-hua. Boundedness of sublinear operators on Herz-Morry spaces[J]. Appl Math J Chinese Univ, 2005, 20(1): 55-62.
  • 5MUCKENHOUPT B, WHEEDEN R L. Weighted norm inequalities for singular and fractional integrals[J]. Trans Amer Math Soc J, 1971, 161: 249-261.
  • 6JOURNE J L. Calderon-Zygmund operators, Pesudo-differential operators and the Cauchy integral of Calderon[J]. Lecture Notes in Math, 1983, 994: 1-127.

同被引文献16

  • 1陈冬香,陈杰诚.带粗糙核的Marcinkiewicz积分算子在Herz空间的有界性(英文)[J].数学进展,2005,34(5):591-599. 被引量：19
  • 2Lubomiea SOFTOVA.Singular Integrals and Commutators in Generalized Morrey Spaces[J].Acta Mathematica Sinica,English Series,2006,22(3):757-766. 被引量：14
  • 3Morrey C B, Jr. On the solutions of quasi-linear elliptic parcial differential equations[J]. Transactions of the American Mathematical Society, 1938, 43 (1) : 126-166.
  • 4Difazio G, Ragusa M A. Interior estimates in morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients[J]. Journal of Functional Analysis, 1993, 112(2):241-256.
  • 5Mazzucato A L. Besov-Morrey spaces: functions space theory and applications to nonlinear PDE [J ]. Transactions of the American Mathematical Society, 2003, 355(4) : 1297-1364.
  • 6Palagachev D K, Softova L G. Singular integral operators, Morrey spaces and fine regularity of solutions of PDF's[J]. Potential Analysis, 2004, 20(3):237-263.
  • 7Mizuhara T. Boundedness of some classical operators on generalized Morrey spaces [C ]//Proceedings of 1990 ICM Satellite Conference on Harmonic Analysis, August 19-20, 1990, Osaka, Japan. Tokyo:Springer-Verlag, 1991 : 183- 189.
  • 8Nakai E. Hardy-littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces[J]. Mathematische Nachrichten, 1994, 166 (1) :95-103.
  • 9Lu Shanzhen, Yang Dachun. The continuity of commutators on Herz-type spaces[J]. Michigan Mathematical Journal, 1997, 44(2) :255-281.
  • 10Lu Shanzhen, Xu Lifang. Boundedness of rough singular integeral operators on the homogenous Morrey-Herz spaces [ J ]. Hokkaido Mathematical Journal, 2005, 34 (2) : 299- 314.

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Chinese Quarterly Journal of Mathematics
2008年 第4期

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