Abstract
We introduce weighted Riesz bounded variation spaces defined on an open subset of n-dimensional Euclidean space and use them to characterize weighted Sobolev spaces when the weight belongs to the Muckenhoupt class. As an application, using Rubio de Francia’s extrapolation theory, we obtain a similar characterization of variable exponent Sobolev spaces via variable exponent Riesz bounded variation spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 287-304 |
| Number of pages | 18 |
| Journal | Studia Mathematica |
| Volume | 274 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- Muckenhoupt Ap weights
- Riesz bounded variation spaces
- Rubio de Francia extrapolation
- Sobolev spaces
- variable Lebesgue spaces
ASJC Scopus subject areas
- General Mathematics
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