Hardy–Littlewood maximal operator on reflexive variable Lebesgue spaces over spaces of homogeneous type
We show that the Hardy–Littlewood maximal operator is bounded on a reflexive variable Lebesgue space Lp(·) over a space of homogeneous type (X, d, µ) if and only if it is bounded on its dual space Lp0(·), where 1/p(x) + 1/p0(x) = 1 for x ∈ X. This result extends the corresponding result of Lars Dien...
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| Format: | article |
| Language: | eng |
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2021
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| Online Access: | http://hdl.handle.net/10362/117157 |
| Country: | Portugal |
| Oai: | oai:run.unl.pt:10362/117157 |