Linear Conjugation Problem with a Triangular Matrix Coefficient

We consider a classical linear conjugation problem for analytic vector-valued functions on a piecewise smooth curve with a triangular matrix coefficient in weighted H¨older spaces. In the twodimensional case, conditions for the existence of a solution are found, a solution of this problem is given,...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-08, Vol.257 (1), p.1-7
Main Authors: Averyanov, G. N., Soldatov, A. P.
Format: Article
Language:English
Subjects:
Conjugation
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
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Summary:We consider a classical linear conjugation problem for analytic vector-valued functions on a piecewise smooth curve with a triangular matrix coefficient in weighted H¨older spaces. In the twodimensional case, conditions for the existence of a solution are found, a solution of this problem is given, and the construction of the canonical matrix function is analyzed in detail.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05463-7