Invariant pluricomplex Green functions

Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.

A value-distribution criterion for the class $L \log L$ and some related questions

M. Essen, D. F. Shea, C. S. Stanton (1985)

Annales de l'institut Fourier

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We give a necessary and sufficient condition for an analytic function in $H^{1}$ to have real part in class $L$ $log L$ . This condition contains the classical one of Zygmund; other variants are also given.

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A value-distribution criterion for the class L log L and some related questions

A value-distribution criterion for the class $L \log L$ and some related questions