A note on the Lebesgue differentiation theorem in spaces of homogeneous type (Q1766448)
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scientific article; zbMATH DE number 2141353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Lebesgue differentiation theorem in spaces of homogeneous type |
scientific article; zbMATH DE number 2141353 |
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A note on the Lebesgue differentiation theorem in spaces of homogeneous type (English)
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7 March 2005
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Let \(X\) be a space of homogeneous type in the sense of Coifman and Weiss. The aim of the paper is to prove that if \(X\) is a space of homogeneous type such that the balls are subspaces of homogeneous type and \(f\) is a locally integrable function then almost every point of \(X\) is a Lebesgue point of the function \(f\).
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spaces of homogeneous type
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Lebesgue points
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