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- W2004154920 abstract "A new characterization for normal functions is given. It is shown that a function $f$ meromorphic in the unit disk is a normal function if and only if for each $delta > 0$ and each $p > 2$ there exists a constant ${K_f}(delta ,p)$ such that, for each hyperbolic disk $Omega$ with hyperbolic radius $delta$, [ iint _Omega {{{(1 - {{left | z right |}^2})}^{p - 2}}{{({f^ ne }(z))}^p}dA(z) leq {K_f}(delta ,p)},] where ${f^ ne }(z)$ denotes the spherical derivative of $f$ and $dA(z)$ is the Euclidean element of area. It is shown by example that this characterization is not valid for $p = 2$." @default.
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- W2004154920 date "1988-02-01" @default.
- W2004154920 modified "2023-09-25" @default.
- W2004154920 title "An integral criterion for normal functions" @default.
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