On the solvability of certain discrete equations and related estimates of discrete operators

The solvability of discrete equations with Calderón–Zygmund kernels is studied, the limit passage from the discrete to the continuous case is substantiated, and estimates of the errors of discrete solutions are obtained.

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Bibliographic Details
Published in:Doklady. Mathematics 2015-09, Vol.92 (2), p.585-589
Main Authors: Vasil’ev, A. V., Vasil’ev, V. B.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:The solvability of discrete equations with Calderón–Zygmund kernels is studied, the limit passage from the discrete to the continuous case is substantiated, and estimates of the errors of discrete solutions are obtained.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562415050312