Corpus ID: 235790522

Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains

  title={Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains},
  author={Walton Green and Nathan Wagner},
We obtain local estimates, also called propagation of smallness or Remez-type inequalities, for analytic functions in several variables. Using Carleman estimates, we obtain a three sphere-type inequality, where the outer two spheres can be any sets satisfying a boundary separation property, and the inner sphere can be any set of positive Lebesgue measure. We apply this local result to characterize the dominating sets for Bergman spaces on strongly pseudoconvex domains in terms of a density… Expand
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