The Dominating Set of Bergman Spaces ()
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.
Share and Cite:
Song, X. (2019) The Dominating Set of Bergman Spaces.
Journal of Applied Mathematics and Physics,
7, 1560-1571. doi:
10.4236/jamp.2019.77106.
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