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One-sided boundary behavior for certain harmonic functions. (English) Zbl 0217.38901


MSC:

31A05 Harmonic, subharmonic, superharmonic functions in two dimensions
31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions
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References:

[1] T. K. Boehme, M. Rosenfeld, and Max L. Weiss, Relations between bounded analytic functions and their boundary functions, J. London Math. Soc. (2) 1 (1969), 609 – 618. · Zbl 0185.14701
[2] Lennart Carleson, Interpolations by bounded analytic functions and the corona problem, Ann. of Math. (2) 76 (1962), 547 – 559. · Zbl 0112.29702
[3] Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. · Zbl 0734.46033
[4] Kenneth Hoffman, Bounded analytic functions and Gleason parts, Ann. of Math. (2) 86 (1967), 74 – 111. · Zbl 0192.48302
[5] M. Rosenfeld and Max L. Weiss, A function algebra approach to a theorem of Lindelöf, J. London Math. Soc. (2) 2 (1970), 209 – 215. · Zbl 0193.10301
[6] Chuji Tanaka, On the metric cluster values of the bounded regular function in the unit disk, Mem. School Sci. Engrg. Waseda Univ. Tokyo No. 31 (1967), 119 – 129.
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