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K-inner functions and K-contractions
Jörg Eschmeier, Sebastian Toth
For a large class of unitarily invariant reproducing kernel functions on the unit ball in , we characterize the -inner functions on …
Wandering subspace property for homogeneous invariant subspaces
Jörg Eschmeier
For graded Hilbert spaces and shift-like commuting tuples , we show that each homogeneous joint invariant subspace of has finite index and is generated by…
Multivariable Bergman shifts and Wold decompositions
Jörg Eschmeier, Sebastian Langendörfer
Let be the analytic functional Hilbert space on the unit ball with reproducing kernel .…
Toeplitz operators with pluriharmonic symbol
Jörg Eschmeier, Sebastian Langendörfer
Let be an integer and let be the analytic functional Hilbert space on the unit ball given by the reproducing kernel $K_m…
On Schatten-class perturbations of Toeplitz operators
Michael Didas, Jörg Eschmeier, Dominik Schillo
We characterize the commutant of the analytic Toeplitz operators modulo operators of Schatten-p-class on suitable multivariable domains. We show that a result of J. Xia on compact…