期刊文献+

算子值Fourier乘子

原文传递
导出
摘要 利用一维情形已知结果和数学归纳法给出了Lp([0,2π]d;X)上算子值 Fourier乘子结果的简单证明.
作者 步尚全
出处 《中国科学(A辑)》 CSCD 北大核心 2006年第1期1-4,共4页 Science in China(Series A)
基金 国家自然科学基金(批准号:10571099) 教育部高等学校博士学科点专项科研基金 清华大学基础研究基金(批准号:JCpy2005056)资助项目
  • 相关文献

参考文献1

二级参考文献13

  • 1[1]Arendt, W. & Bu, S., The operator-valued Marcinkiewicz multiplier theorem and maximal regularity,Math. Z., 240:2(2002), 311-343.
  • 2[2]Arendt, W. & Bu, S., Tools for maximal regularity, Math. Proc. Cambridge Philo. Soc., 134(2003),317-336.
  • 3[3]Bourgain, J., Vector valued singular integrals and the H1-BMO duality, in Probability Theory and Harmonic Analysis, Burkholder (ed.), Marcel Dekker, New York, 1986, 1-19.
  • 4[4]Ph. Clement & Pruss, J., An operator-valued transference principle and maximal regularity on vectorvalued Lp-spaces, in Evolution Equations and Their Applications in Physics and Life Sciences, Lumer& Weis (eds.), Marcel Dekker, 2000.
  • 5[5]Ph. Clement, de Pagter, B., Sukochev, F. A. & Witvliet, M., Schauder decomposition and multiplier theorems, Studia Math, 138(2000), 135-163.
  • 6[6]Dore, G., Lp-regularity for abstract differential equations, in Functional Analysis and Related Topics,H. Komatsu (ed.), Springer LNM 1540, 1993, 25-38.
  • 7[7]Lindenstrauss, J. & Tzafriri, L., Classical Banach Spaces Ⅱ, Springer, Berlin, 1996.
  • 8[8]McConnell, T. R., On Fourier multiplier transformations of Banach-valued functions, Trans. A.M.S.,285(1984), 739-757.
  • 9[9]Pisier, G., Some results on Banach spaces without local unconditional structure, Compositio Math.,37(1978), 3-19.
  • 10[10]Venni, A., Marcinkiewicz and Mihlin multiplier theorems, and R-boundedness, Evolution Equations:Applications to Physics, Industry, Life Sciences and Economics, Levio Terme, 2000, 403-413, Progr.Nonlinear Differential Equations Appl, 55, Birkhauser, Basel, 2003.

共引文献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