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Showing 2013Show all
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math.CV2013
On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila
In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain c…
math.CV2013★ 2 cited
Lengths, areas and Lipschitz-type spaces of planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila
In this paper, we establish a three circles type theorem, involving the harmonic area function, for harmonic mappings. Also, we give bounds for length and area distortion for harmo…