Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls

Details Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls

2007-06-04

arxiv.org/abs/0706.0435v1

Mathematics

Complex Variables

Scientific paper

We characterize the Carleson measures for the Drury-Arveson Hardy space and other Hilbert spaces of analytic functions of several complex variables. This provides sharp estimates for Drury's generalization of Von Neumann's inequality. The characterization is in terms of a geometric condition, the "split tree condition", which reflects the nonisotropic geometry underlying the Drury-Arveson Hardy space.

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