Boas' conjecture in anisotropic Lebesgue and Lorentz spaces
We consider the multidimensional analogues of the Lorentz spaces and weighted Lebesgue spaces. For functions monotone in each variable in these spaces we study integrability properties of their Fourier transforms.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-064-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/48925 |
| Tartalmi kivonat: | We consider the multidimensional analogues of the Lorentz spaces and weighted Lebesgue spaces. For functions monotone in each variable in these spaces we study integrability properties of their Fourier transforms. |
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| Terjedelem/Fizikai jellemzők: | 201-214 |
| ISSN: | 0001 6969 |