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Inversion of the Bessel potential operator in weighted variable Lebesgue spaces |
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| Authors: | Alexandre Almeida Humberto Rafeiro |
| Affiliation: | aDepartamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal;bDepartamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal |
| Abstract: | We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using approximative inverse operators. This generalizes some classical results to the variable exponent setting. |
| Keywords: | Bessel potentials Approximative inverse operators Variable exponent Weighted spaces |
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