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On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Toeplitz operators on Bergman spaces of polyanalytic functions
Toeplitz operators Bergman spaces of polyanalytic functions
2011/1/21
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
Boundary values in range spaces of co-analytic truncated Toeplitz operators
Continuation Model spaces Toeplitz operators Truncated Toeplitz operators
2011/2/22
Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function.