The Drury-Arveson space is a Hilbert space of function analytic in the complex balls of C^n which naturally appears in operator theory (multivariable von Neumann inequality, universal Nevanlinna-Pick kernels). The main result of the paper is the characterization of the Carleson measures (hence, of the multiplier space) for the Drury-ARveson space. Applications to operator theory of the result are also discussed.
N. Arcozzi, R. Rochberg, E. Sawyer (2008). Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls. ADVANCES IN MATHEMATICS, 218, 1107-1180 [10.1016/j.aim.2008.03.001].
Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls
ARCOZZI, NICOLA;
2008
Abstract
The Drury-Arveson space is a Hilbert space of function analytic in the complex balls of C^n which naturally appears in operator theory (multivariable von Neumann inequality, universal Nevanlinna-Pick kernels). The main result of the paper is the characterization of the Carleson measures (hence, of the multiplier space) for the Drury-ARveson space. Applications to operator theory of the result are also discussed.File in questo prodotto:
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