A subordination Principle. Applications

Details A subordination Principle. Applications A subordination Principle. Applications

2011-05-10

arxiv.org/abs/1105.1932v2

Mathematics

Complex Variables

A lot of typos corrected, thank to a careful reader, and the presentation slightly modified

Scientific paper

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

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