Modulus and capacity on metric measure space (Q2725219)
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scientific article; zbMATH DE number 1618997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modulus and capacity on metric measure space |
scientific article; zbMATH DE number 1618997 |
Statements
2 January 2003
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conformal moduli
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capacity
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0.9249265
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0.92408895
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0.9019067
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0.8973153
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Modulus and capacity on metric measure space (English)
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It is proved that NEWLINE\[NEWLINE\text{cap}^L_p(E,F) \leq\text{cap}^L_p (E,F) \leq \bmod_p(E,F),NEWLINE\]NEWLINE where \(E\) and \(F\) are closed sets in an open set, \(E\cap F= \varphi\), \(\bmod_p\) is the \(p\)-module and \(\text{cap}_p^c\) (or \(\text{cap}^L_p)\) is the \(p\)-capacity for continuous functions (or Lipschitz functions).
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