A class of Hölder matrix functions of the second order admitting effective factorization. (English) Zbl 1509.30025
Russ. Math. 66, No. 10, 56-61 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 10, 66-72 (2022).
Summary: Hölder matrix functions of the second order are considered. We assume that one element is arbitrary, diagonal elements do not vanish on the contour, and the choice of the last element determines the possibility of their effective factorization.
MSC:
| 30E25 | Boundary value problems in the complex plane |
| 47A56 | Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) |
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