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Functions with unbounded ∂-derivative and their boundary functions
Published online by Cambridge University Press: 09 April 2009
Abstract
Let F(z) be a continuous complex-valued function defined on the closed upper half plane H whose generalized derivative ∂F(z) is unbounded. In this paper, we discuss the relationship between the increasing order of ]∂F(x + iy)] when y → 0 and that of λf(x, t) ](F(x + t) − 2F(x) + F(x − t))/t], (x, t ∈ R), when t → 0.
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- Research Article
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- Copyright © Australian Mathematical Society 1997
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