期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Weighted Estimates for Multilinear Pseudodifferential Operators 被引量：3

Weighted Estimates for Multilinear Pseudodifferential Operators
原文传递
导出
摘要 In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical Ap weights to multiple weights. In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical Ap weights to multiple weights.
作者 Kang Wei LI Wen Chang SUN
机构地区 School of Mathematical Sciences and LPMC
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第8期1281-1288,共8页 数学学报（英文版）
基金 Supported partially by the National Natural Science Foundation of China(Grant No.11371200) the Research Fund for the Doctoral Program of Higher Education(Grant No.20120031110023)
关键词 Multiple weights nmltilinear pseudodifferential operators Multiple weights, nmltilinear pseudodifferential operators
分类号 O174 [理学—基础数学]
  • 相关文献

参考文献28

  • 1Benyi, A., Maldonado, D., Naibo, V., et al.: On the H6rmander classes of bilinear pseudodifferential operators. Integr. Equ. Oper. Theory, 67, 341-364 (2010).
  • 2Benyi, A., Torres, R. H.: Almost orthogonality and a class of bounded bilinear pseudodifferential operators. Math. Res. Lett., 11, 1-11 (2004).
  • 3Bernieot, F.: A bilinear pseudodifferential calculus. J. Geom. Anal., 20, 39 62 (2010).
  • 4Beraicot, F., Torres, R. H.: Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus. Anal. PDE, 4, 551-571 (2011).
  • 5Bui, T. A., Duong, X. T.: Weighted norm inequalities for multilinear operators and applications to multi- linear Fourier multipliers. Bull. Sci. Math., 137, 63-75 (2013).
  • 6Coifman, R., Meyer, Y.: On commutators of singular integrals and bilinear singular integrals. Trans. Amer. Math. Soc., 212, 315-331 (1975).
  • 7Coifman, R., Meyer, Y.: Commutateurs d'integrales singulieres et operateurs multi-lin6aires. Ann. Inst. Fourier, Grenoble, 28, 177-202 (1978).
  • 8Coifman, R., Meyer, Y.: Au delh des operateurs pseudo-differentiels. Astdrisque, 57, 1 185 (1978).
  • 9Coifman, R., Meyer, Y.: Wavelets. CMderdn Zygmund and Multilinear Operators, Translated from the 1990 and 1991 French originals by David Salinger. Cambridge Studies in Advanced Mathematics 48, Cambridge University Press, Cambridge, 1997.
  • 10Dai, W., Lu, G.: Lp estimates for multi-linear and multi-parameter pseudo-differential operators, preprint, available at http://arxiv.org/abs/1308.4062.

同被引文献13

引证文献3

二级引证文献8

Acta Mathematica Sinica,English Series
2014年 第8期

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