On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space |
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| Authors: | Humberto Rafeiro Stefan Samko |
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| Affiliation: | 1. Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates;2. Departamento de Matemática, Universidade do Algarve, Faro, Portugal |
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| Abstract: | For the Riesz potential of variable order over bounded domains in Euclidean space, we prove the boundedness result from variable exponent Morrey spaces to variable exponent Campanato spaces. A special attention is paid to weaken assumptions on variability of the Riesz potential. |
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| Keywords: | BMO fractional integral Riesz potential variable exponent Campanato spaces variable exponent Morrey spaces |
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