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On angular boundary values of subharmonic functions from the class \(\mathcal N\). (English) Zbl 1274.30138

Summary: We investigate the existence problem of angular boundary values of normal subharmonic functions in the unit disc at the points of the unit circle. Some well-known results are improved. Besides, for the first time, the paper gives some necessary and sufficient conditions for the existence of angular boundary values of normal subharmonic functions.

MSC:

30D40 Cluster sets, prime ends, boundary behavior
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