Abstract
Analytic Toeplitz operators Tφ{symbol}:f{mapping}φ{symbol}f, φ{symbol}∈H∞, in the Hardy space H2 are considered. In the case of a smooth symbol and under some assumptions of a geometric character on the curve t{mapping}φ{symbol}(eit) a complete description of the cyclic families is obtained. This description is based on the concepts of outer function and pseudocontinuation, which, as it is known, are used for the characterization of the cyclic vectors of the direct and inverse shifts.
Original language | English |
---|---|
Pages (from-to) | 809-819 |
Number of pages | 11 |
Journal | Journal of Soviet Mathematics |
Volume | 44 |
Issue number | 6 |
DOIs | |
State | Published - Mar 1989 |