Minimum growth of harmonic functions and thinness of a set
1984 ◽
Vol 95
(1)
◽
pp. 123-133
◽
Keyword(s):
In [3], Barth, Brannan and Hayman proved that if u(z) is any non-constant harmonic function in ℝ2, ø(r) is a positive increasing function of r for r ≥ 1 andthen there exists a path going from a finite point to ∞, such that u(z) > ø(|z|) on Γ. Moreover, they showed by example that the integral condition above cannot be relaxed.
1948 ◽
Vol 44
(2)
◽
pp. 289-291
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Keyword(s):
1949 ◽
Vol 45
(2)
◽
pp. 207-212
◽
1944 ◽
Vol 62
(1)
◽
pp. 31-36
1935 ◽
Vol 31
(4)
◽
pp. 482-507
◽
1987 ◽
Vol 30
(3)
◽
pp. 471-477
◽
1995 ◽
Vol 38
(1)
◽
pp. 35-52
◽
Keyword(s):
1948 ◽
Vol 44
(2)
◽
pp. 155-158
◽
1993 ◽
Vol 113
(1)
◽
pp. 147-151
◽
Keyword(s):