期刊文献+

A Trace Theorem of Besov Spaces on a d-Set

A Trace Theorem of Besov Spaces on a d-Set
下载PDF
导出
摘要 In the paper we give a trace theorem of Besov spaces Bp^α,p(R^n) on a d-set. It is a kind of extension of related results of Jonsson and Wallin, which has important applications on PDE theory. In the paper we give a trace theorem of Besov spaces Bp^α,p(R^n) on a d-set. It is a kind of extension of related results of Jonsson and Wallin, which has important applications on PDE theory.
作者 Ming XU
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第5期897-902,共6页 数学研究与评论(英文版)
基金 Supported by the Ji’nan University’s Young Scholar’s Foundation (Grant No51208036)
关键词 Besov spuces TRACE d-set Besov spuces trace d-set,
  • 相关文献

参考文献1

二级参考文献26

  • 1Peetre, J.: The trace of Besov space - a limiting case. Technical Report, Lund, 1975
  • 2Gol'dman, M. L.: On the extension of functions of Lp(Rn) in spaces with a larger numbers of dimensions (Russian). Mat. Zametiki, 25, 513-520 (1979)
  • 3Burenkov, V. I., Gol'dman, M. L.: On the extension of functions of Lp (Russian). Trudy Mat. Inst. Steklov, 150, 31-51 (1979)
  • 4Frazier, M., Jawerth, B.: Decomposition of Besov spaces. Indiana Univ. Math. Journ., 34, 777-799 (1985)
  • 5Triebel, H.: Atomic decompositions of Fpq^S spaces. Applications to exotic pseudodifferential and Fourier integral operators. Math. Nachr., 144, 189-222 (1989)
  • 6Frazier, M., Jawerth, B.: A discrete transform and decomposition of distribution spaces. Journ. Funct. Anal., 93, 34-170 (1990)
  • 7Netrusov, Yu. V.: Sets of singularities of functions in spaces of Besov and Lizorkin-Triebel type. Proc. Steklov Inst. Math., 187, 185-203 (1990)
  • 8Triebel, H., Winkelvoss, H.: Intrinsic atomic characterizations of function spaces on domains. Math. Zeitschr. 221,647-673 (1996)
  • 9Jonsson, A.: Atomic decomposition of Besov spaces on closed sets. In: Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte Math. 133, Teubner, Leipzig, 1993, 285-289
  • 10Caetano, A.M.: Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Studia Math., 142, 47-63 (2000)

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