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.
Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls / N. Arcozzi; R. Rochberg; E. Sawyer. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 218:(2008), pp. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.