On the doubling condition in the infinite-dimensional setting
We present a systematic approach to the problem whether a topologically infinite-dimensional space can be made homogeneous in the Coifman--Weiss sense. The answer to the examined question is negative, as expected. Our leading representative of spaces with this property is $\mathbb{T}^{\omega} = \mat...
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| Main Author: | |
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| Format: | Journal Article |
| Language: | English |
| Published: |
03-10-2022
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | We present a systematic approach to the problem whether a topologically
infinite-dimensional space can be made homogeneous in the Coifman--Weiss sense.
The answer to the examined question is negative, as expected. Our leading
representative of spaces with this property is $\mathbb{T}^{\omega} =
\mathbb{T} \times \mathbb{T} \times \cdots$ with the natural product topology. |
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| DOI: | 10.48550/arxiv.2210.01250 |