Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation
In this paper, we establish an extension of the Hardy-Littlewood-Sobolev theorem to the setting of the Bourgain-Morrey space Mαq,p(Rd) (1 ≤ q, p, α ≤ ∞), which theory goes back to Bourgain in 1991. We also prove that Mα q,p(R d ) is included in the closure of the Lebesgue space Lα in the Morrey-type...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Ada Academica
2024-05-01
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| Series: | European Journal of Mathematical Analysis |
| Online Access: | https://adac.ee/index.php/ma/article/view/234 |
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