Vol. 147, No. 2, 1991

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On invariant subspaces of several variable Bergman spaces

Mihai Putinar

Vol. 147 (1991), No. 2, 355–364
Abstract

By using a natural localization method, one describes the finite codimensional invariant subspaces of the Bergman n-tuple of operators associated to some bounded pseudoconvex domains in n, with a sufficiently nice boundary.

Mathematical Subject Classification 2000
Primary: 46E20
Secondary: 32A37, 47A15, 47B38
Milestones
Received: 9 November 1988
Revised: 2 January 1990
Published: 1 February 1991
Authors
Mihai Putinar
http://www.math.ucsb.edu/~mputinar/