Abstract
The Carleman--Goluzin--Krylov formula expressing an analytic function of the Hardy class in the unit disk is considered. Analogs of the Patil theorem asserting the convergence in this formula are discussed in the cases of the disk-algebra and the Hardy space H1. Bibliography: 14 titles. Illustrations: 2 figures.
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Bart, V.A. Estimates for the Norms of the Carleman--Goluzin--Krylov Operators in the Disk-Algebra and the Hardy Space H1 . Journal of Mathematical Sciences 105, 2330–2346 (2001). https://doi.org/10.1023/A:1011361112299
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DOI: https://doi.org/10.1023/A:1011361112299