TITLE:
The Dominating Set of Bergman Spaces
AUTHORS:
Xin Song
KEYWORDS:
Bergman Space, Carleson Measure, Reverse Carleson Inequality
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.7,
July
25,
2019
ABSTRACT: The dominating set of the weighted Bergman space in the unit disk is characterized in terms of the pseudo-hyperbolic metric disk. Our method is to generalize Luecking’s three key lemmas on Bergman space to the weighted Bergman space in the unit disk. We then apply those three lemmas to give a complete description of the dominating set of the weighted Bergman space.