Abstract
Among the answers that have been found to many of the questions in this chapter are.
-
(A)
the striking resolution, by Hansen and Nadirashvili, of two well-known problems of Littlewood concerning bounded continuous functions which possess a one-radius mean value property (Problem 3.8);
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(B)
the verification of the boundary Harnack principle, which is now a widely used tool in potential theory (Problem 3.17);
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(C)
Fuglede’s treatment of asymptotic paths for subharmonic functions, which illustrates the utility of fine topology methods in addressing classical questions (Problem 3.2).
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Hayman, W.K., Lingham, E.F. (2019). Subharmonic and Harmonic Functions. In: Research Problems in Function Theory. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-25165-9_3
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DOI: https://doi.org/10.1007/978-3-030-25165-9_3
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