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Relationships between Different Dimensions of a Measure |
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| Authors: | Ai-Hua Fan Ka-Sing Lau Hui Rao |
| Institution: | (1) WIPM, The Chinese Academy of Sciences, Wuhan, China, CN;(2) University of Picardie, Amiens, France, FR;(3) The Chinese University of Hong Kong, Shatin, Hong Kong, CN;(4) Wuhan University, Wuhan, China, CN |
| Abstract: | We establish various relationships of the Hausdorff dimension, entropy dimension and -dimension of a measure without assuming that the local dimension of μ exists μ-a.e. These extend a well known result of Young. Received 2 October 2000; in revised form 20 September 2001 |
| Keywords: | 2000 Mathematics Subject Classification: 28A78 28A80 |
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