Fatou type theorems: maximal functions and approach regions

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Birkhäuser, 1998 - Mathematics - 152 pages
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One of the main tasks in the understanding of the boundary behavior of harmonic (holomorphic) functions in domains in real (complex) Euclidean spaces is to describe the regions of approach to the boundary, along which the functions converge to their boundary values. This is an introduction to the subject, as well as an exposition of the latest results.

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