English

A subordination Principle. Applications

Complex Variables 2014-01-15 v4

Abstract

The subordination principle states roughly : if a property is true for Hardy spaces in some kind of domains in CnC^n then it is also true for the Bergman spaces of the same kind of domains in Cn1C^{n-1}. We give applications of this principle to Bergman-Carleson measures, interpolating sequences for Bergman spaces, ApA^p Corona theorem and characterization of the zeros set of Bergman-Nevanlinna class.

Cite

@article{arxiv.1105.1932,
  title  = {A subordination Principle. Applications},
  author = {Eric Amar},
  journal= {arXiv preprint arXiv:1105.1932},
  year   = {2014}
}

Comments

A typo corrected : the (clearly) missing important letters "p.s.h." are added in the correct place. No changes for the results nor for the proofs

R2 v1 2026-06-21T18:05:08.519Z