期刊文献+

A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES

A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES
下载PDF
导出
摘要 In this paper, we prove that the original Littlewood-Paley g-functions can be used to characterize Bergman spaces as well. In this paper, we prove that the original Littlewood-Paley g-functions can be used to characterize Bergman spaces as well.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期150-154,共5页 数学物理学报(B辑英文版)
基金 partially supported by NSFC(11171338)
关键词 Bergman space Hardy space Littlewood-Paley g-function Bergman space Hardy space Littlewood-Paley g-function
  • 相关文献

参考文献1

二级参考文献20

  • 1AHERN P, BRUNA J. Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of Cn [J]. Revista Mate Iber, 1988, 4: 123-153.
  • 2AHERN P, COHN W. Besov spaces, Sobolev spaces, and Cauchy integrals [J]. Michigan Math J, 1972, 39: 239-261.
  • 3ALEKSANDROV A. Function theory in the unit ball [C]. Several Complex Variables II (G M Khenkin and A G Vitushkin, editors). Berlin: Springer-Verlag, 1994.
  • 4ARCOZZI N, ROCHBERG R, SAWYER E. Carleson measures and interpolating sequences for Besov spaces on complex balls [J]. Memoirs Amer Math Soc, 2006, 859: 1-163.
  • 5ARCOZZI N, ROCHBERG R, SAWYER E. Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls [J]. Adv Math, 2008, 218: 1107-1180.
  • 6BEATROUS F, BURBEA J. Holomorphic Sobolev spaces on the ball[J]. Dissertationes Mathematicae, 1989, 276: 1-78.
  • 7CHEN Zeqian, OUYANG Wei. Maximal and aera integral characterizations of Bergman spaces in the unit ball of Cn [J]. arXiv: 1005.2936.
  • 8CHEN Zeqian, OUYANG Wei. Real-variable characterizations of Bergman spaces in the unit ball of C'" [J]. arXiv: 1103.6122.
  • 9COIFMAN R R, MEYER Y, STEIN E M. Some new function spaces and their applications Oll harmonic analysis [J]. J Funct Anal, 1985, 62: 304-335.
  • 10COIFMAN R, ROCHBERG R. Representation theorems for holomorphic and harmonic functions in Lp [J]. Asterisque, 1980, 77: 11-66.

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