A NEW CHARACTERIZATION OF REGULARIZED BMO SPACES ON NON-HOMOGENEOUS SPACES AND ITS APPLICATIONS

作者：Hu, Guoen; Meng, Yan^*; Yang, Dachun

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2013, 38(1): 3-27.

DOI：10.5186/aasfm.2013.3809

• RBMO(mu)
• Calderon-Zygmund operator
• upper doubling measure
• geometrically doubling
• metric measure space

Let (X, d, mu) be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. Under this assumption, in this paper, the authors establish a new characterization of the space RBMO(mu). As applications, the authors prove that the L-P(mu)-boundedness with p is an element of (1, infinity) of the Calderon-Zygmund operator is equivalent to its various endpoint estimates.

• 出版日期2013
• 单位北京师范大学; 中国人民大学; 中国科学技术信息研究所