Foundations of Fatou Theory and a Tribute to the Work of E. M. Stein on Boundary Behavior of Holomorphic Functions

We lay the foundations of Fatou theory in one and several complex variables. We describe the main contributions contained in E. M. Stein’s book Boundary Behavior of Holomorphic Functions , published in 1972 and still a source of inspiration. We also give an account of his contributions to the study...

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Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 31; no. 7; pp. 7184 - 7296
Main Authors:	Di Biase, Fausto, Krantz, Steven G.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2021 Springer Nature B.V
Subjects:	Abstract Harmonic Analysis Analytic functions Complex variables Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Elias M. Stein: In Memoriam Foundations Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Harmonic functions Mathematical analysis Mathematics Mathematics and Statistics 31B25 32A35 28A15 Almost everywhere convergence Theorems of Fatou type 32A40 Approach regions Maximal functions
ISSN:	1050-6926, 1559-002X
Online Access:	Get full text
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