Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (3): 1103-1112.doi: 10.1007/s10473-022-0316-4

• Articles • Previous Articles     Next Articles

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 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).

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

CLC Number: 

  • 46E15
Trendmd