The boundary behavior of pseudocontinuable functions. (English. Russian original) Zbl 0833.30018
St. Petersb. Math. J. 5, No. 2, 389-406 (1994); translation from Algebra Anal. 5, No. 2, 189-210 (1993).
The paper gives a detailed study of the boundary properties of functions in invariant subspaces of the backward shift operator in terms of the spectral measures of one-dimensional perturbations of the compression of the shift to those subspaces.
Some of the obtained results are applied to problems concerning multiplication and division of Cauchy-Stieltjes type integrals.
Some of the obtained results are applied to problems concerning multiplication and division of Cauchy-Stieltjes type integrals.
Reviewer: D.Khavinson (Fayetteville)
MSC:
| 30D55 | \(H^p\)-classes (MSC2000) |
| 30E20 | Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane |
| 47B37 | Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
