DK SPACES AND CARLESON MEASURES

doi:10.1007/s10473-022-0316-4

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

D_K SPACES AND CARLESON MEASURES

李东行¹, 乌兰哈斯², 赵如汉³

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 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).

D_K SPACES AND CARLESON MEASURES

Dongxing LI¹, Hasi WULAN², Ruhan ZHAO³

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).

摘要/Abstract

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: D_K 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: D_K space, Hadamard product, mean growth, Carleson measure

中图分类号:

46E15

李东行, 乌兰哈斯, 赵如汉. D_K SPACES AND CARLESON MEASURES[J]. 数学物理学报(英文版), 2022, 42(3): 1103-1112.

Dongxing LI, Hasi WULAN, Ruhan ZHAO. D_K SPACES AND CARLESON MEASURES[J]. Acta mathematica scientia,Series B, 2022, 42(3): 1103-1112.

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