Results 141 to 150 of about 10,386,040 (275)

On boundary behaviours of holomorphic functions

open access: yesKyoto Journal of Mathematics, 1987
Suppose f(z) is analytic in the unit disk and there is an arc \(\Gamma\) on the unit circle such that f does not have \(\infty\) as an asymptotic value at any point of \(\Gamma\). The author and \textit{P. Lappan} [Proc. Am. Math. Soc. 90, 293-298 (1984; Zbl 0539.30023)] gave sufficient conditions in terms of the level sets of f under which almost ...
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Tensor products of holomorphic functions

open access: yesIndagationes Mathematicae (Proceedings), 1973
AbstractLet E and F be complex Banach Spaces, and let U be an open subset of E. The completed tensor product, B(U;C) ⊗^ɛ ⊆ H (U;F), is calculated, for various naturally arising subspaces B(U; C) of the space of holomorphic scalar valued functions on U, H(U; C), and for various natural topologies.
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Zeros of holomorphic functions in balls

open access: yesIndagationes Mathematicae (Proceedings), 1976
AbstractLet B denote the open unit ball in the space of n complex variables, where n > 1. A special case of the main result of the present paper is that the various Hardy spaces Hp(B) (0 < p < ∞) have distinct zero sets in B.
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