数学物理学报 ›› 2022, Vol. 42 ›› Issue (3): 1103-1112.doi: 10.1007/s10473-022-0316-4

• 论文 • 上一篇    下一篇

DK SPACES AND CARLESON MEASURES

李东行1, 乌兰哈斯2, 赵如汉3   

  1. 1. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou, 510521, China;
    2. Department of Mathematics, Shantou University, Shantou, 515063, China;
    3. Department of Mathematics, SUNY Brockport, Brockport, NY, 14420, USA
  • 收稿日期:2020-12-09 修回日期:2021-07-31 出版日期:2022-06-26 发布日期:2022-06-24
  • 通讯作者: Ruhan ZHAO,E-mail:rzhao@brockport.edu E-mail:rzhao@brockport.edu
  • 基金资助:
    This research is supported by the China National Natural Science Foundation (11720101003).

DK SPACES AND CARLESON MEASURES

Dongxing LI1, Hasi WULAN2, Ruhan ZHAO3   

  1. 1. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou, 510521, China;
    2. Department of Mathematics, Shantou University, Shantou, 515063, China;
    3. Department of Mathematics, SUNY Brockport, Brockport, NY, 14420, USA
  • Received:2020-12-09 Revised:2021-07-31 Online:2022-06-26 Published:2022-06-24
  • Contact: Ruhan ZHAO,E-mail:rzhao@brockport.edu E-mail:rzhao@brockport.edu
  • Supported by:
    This research is supported by the China National Natural Science Foundation (11720101003).

摘要: We give some characterizations of Carleson measures for Dirichlet type spaces by using Hadamard products. We also give a one-box condition for such Carleson measures.

关键词: DK space, Hadamard product, mean growth, Carleson measure

Abstract: We give some characterizations of Carleson measures for Dirichlet type spaces by using Hadamard products. We also give a one-box condition for such Carleson measures.

Key words: DK space, Hadamard product, mean growth, Carleson measure

中图分类号: 

  • 46E15