On radial variation of holomorphic functions with lp Taylor coefficients
1990 ◽
Vol 33
(3)
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pp. 475-481
Keyword(s):
Suppose is holomorphic in Δ = {z:|z|<l} and (an)∈lp where 1≦p≦2. We prove that for k=1,2,…, and almost every θ. This result is sharp in the following sense: Let p∈[1,2] and ε(r) be a positive function defined on [0,1] such that limr→1-ε(r)=0. Then there exists a function holomorphic in Δ with (an)∈lp such thatfor each k>1/p.
1987 ◽
Vol 35
(3)
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pp. 471-479
Keyword(s):
1962 ◽
Vol 14
◽
pp. 334-348
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1979 ◽
Vol 31
(6)
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pp. 1269-1280
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Keyword(s):
1979 ◽
Vol 31
(1)
◽
pp. 9-16
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Keyword(s):
1979 ◽
Vol 31
(1)
◽
pp. 79-86
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Keyword(s):
1982 ◽
Vol 34
(1)
◽
pp. 1-7
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Keyword(s):
2011 ◽
Vol 85
(2)
◽
pp. 307-314
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Keyword(s):
2018 ◽
Vol 105
(1)
◽
pp. 34-45
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