Bohr radii of vector valued holomorphic functions
نویسندگان
چکیده
منابع مشابه
Holomorphic vector-valued functions
exists. The function f is continuously differentiable when it is differentiable and f ′ is continuous. A k-times continuously differentiable function is C, and a continuous function is C. A V -valued function f is weakly C when for every λ ∈ V ∗ the scalar-valued function λ◦ f is C. This sense of weak differentiability of a function f does not refer to distributional derivatives, but to differe...
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Here fd(s)=fd(s+ 1), S<0. Davis' original proof uses probabilistic methods. Later J. L. Lewis (unpublished) gave an analytic proof. See also [6] for another proof, and also see [5], for related work. After the initial preparation of the paper, Professor Davis informed the author of the existence of another solution of the rearrangement problem due to O. D. Ceretelli [3], who shows that f has a ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2012
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.07.016