The fall of the doubling condition in Calderón-Zygmund theory (Q1861102)
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scientific article; zbMATH DE number 1881293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fall of the doubling condition in Calderón-Zygmund theory |
scientific article; zbMATH DE number 1881293 |
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The fall of the doubling condition in Calderón-Zygmund theory (English)
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26 November 2003
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Many results of standard Calderón-Zygmund theory have recently been extended to more general non-homogeneous contexts, where the standard doubling condition need not be satisfied. The author describes the reasons that caused him to study singular integrals of Calderón-Zygmund type on non-homogeneous spaces. The author also describes some of the technical devices that made it possible to dispense with the doubling condition.
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Calderón-Zygmund operator
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doubling measure
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analytic capacity
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