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On the Lp-improving property of the Cantor-Lebesgue measure Zhu, Junjie
Abstract
The middle-third Cantor set is one of the most fundamental examples of self-similar fractal sets introduced by the German mathematician George Cantor in the late 1800s. Many questions about this set remain unanswered. In this thesis, we study the mapping property of a measure associated with the middle-third Cantor set. Specifically, we study whether the Cantor measure is Lebesgue improving through partly theoretical and partly numerical methods.
Item Metadata
| Title |
On the Lp-improving property of the Cantor-Lebesgue measure
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2020
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| Description |
The middle-third Cantor set is one of the most fundamental examples of self-similar fractal sets introduced by the German mathematician George Cantor in the late 1800s. Many questions about this set remain unanswered. In this thesis, we study the mapping property of a measure associated with the middle-third Cantor set. Specifically, we study whether the Cantor measure is Lebesgue improving through partly theoretical and partly numerical methods.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2020-04-24
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0389959
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2020-05
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International