Fractional and Hypersingular Operators in Variable Exponent Spaces on Metric Measure Spaces |
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| Authors: | Alexandre Almeida Stefan Samko |
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| Institution: | (1) Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal;(2) Faculdade de Ciências e Tecnologia, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal |
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| Abstract: | We prove the continuity of potential type operators and hypersingular operators in variable Lebesgue and Sobolev spaces on
a metric measure space (Χ, d, μ). Two variants of such operators are considered, according to the regularity admitted on the measure μ. |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 43A85 26A33 Secondary 42B25 46E35 26D10 |
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