Symbols of truncated Toeplitz operators
By A. Baranov, Roman V. Bessonov, V. Kapustin. 2010
64 citations recorded by the source corpus.
Abstract 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.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/e5da5b96511d3c604a8b720cec2f5db7c1ead32d
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Citations in the corpus
- Recent Progress on Truncated Toeplitz Operators (2011, background): “is again negative [14, Sec. 5]. On a positive note, Baranov, Bessonov, and Kapustin recently discovered a condition on the inner function uwhich ensures that every operator in Tu has a bounded symbol [13]. After a few preliminary details, we discuss their work below. Definition 4. For p>0, let Cp(”