The Boas problem on Hankel transforms
Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are al...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:288470 |
| Acceso en línea: | https://ddd.uab.cat/record/288470 https://dx.doi.org/urn:doi:10.1007/s00041-019-09703-y |
| Access Level: | acceso abierto |
| Palabra clave: | Boas conjecture Hankel transform General monotonicity Weighted Lebesgue spaces Lorentz spaces |
| Sumario: | Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given. |
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