The basic properties of Bloch functions.
Cima, Joseph A. (1979)
International Journal of Mathematics and Mathematical Sciences
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Cima, Joseph A. (1979)
International Journal of Mathematics and Mathematical Sciences
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Jevtić, Miroljub, Pavlović, Miroslav (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Joan J. Carmona, Julià Cufi, Christian Pommerenke (1989)
Revista Matemática Iberoamericana
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Stević, Stevo (2007)
Abstract and Applied Analysis
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Stević, Stevo (2007)
Journal of Inequalities and Applications [electronic only]
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Danikas, Nikolaos, Lappan, Peter (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Yang, Weifeng (2009)
Abstract and Applied Analysis
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Juan Jesús Donaire, Christian Pommerenke (1999)
Revista Matemática Iberoamericana
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A Bloch function g is a function analytic in the unit disk such that (1 - |z|2) |g' (z)| is bounded. First we generalize the theorem of Rohde that, for every bad Bloch function, g(rζ) (r → 1) follows any prescribed curve at a bounded distance for ζ in a set of Hausdorff dimension almost one. Then we introduce balanced Bloch functions. They are characterized by the fact that |g'(z)| does not vary much on each circle {|z| = r} except for small exceptional arcs. We show...
Girela, Daniel, Peláez, José Ángel (2006)
Journal of Inequalities and Applications [electronic only]
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Stević, Stevo (2010)
Abstract and Applied Analysis
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Nowak, Maria (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Matache, Valentin (2005)
Fixed Point Theory and Applications [electronic only]
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