Research output: Contribution to journal › Article
Symbols of truncated Toeplitz operators. / Baranov, Anton; Bessonov, Roman; Kapustin, Vladimir.
In: Journal of Functional Analysis, Vol. 261, No. 12, 2011, p. 3437-3456.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Symbols of truncated Toeplitz operators
AU - Baranov, Anton
AU - Bessonov, Roman
AU - Kapustin, Vladimir
PY - 2011
Y1 - 2011
N2 - We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: – properties of truncated Toeplitz operators; – Carleson-type embedding theorems for the coinvariant subspaces; – factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason.
AB - We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: – properties of truncated Toeplitz operators; – Carleson-type embedding theorems for the coinvariant subspaces; – factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason.
KW - Model space
KW - Inner function
KW - Toeplitz operator
KW - Carleson measure
U2 - doi:10.1016/j.jfa.2011.08.005
DO - doi:10.1016/j.jfa.2011.08.005
M3 - Article
VL - 261
SP - 3437
EP - 3456
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 12
ER -
ID: 5235598