On new Bloch-type spaces |
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Authors: | Stevo Stevi |
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Institution: | aMathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia |
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Abstract: | We introduce a new Bloch-type space, so called, the logarithmic Bloch-type space on the unit disc , as the space of all holomorphic functions f on such thatwhere α>0 and β 0, and present some basic properties of the space. A necessary and a sufficient condition for a function with Hadamard gaps to belong to the logarithmic Bloch-type space are given, as well as some applications of these results to a composition operator. |
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Keywords: | Bloch-type space Hadamard gaps Bounded operator |
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