A note on Riesz fractional integrals in the limiting case alpha(x)p(x) a parts per thousand n
We show that the Riesz fractional integration operator I (alpha(center dot)) of variable order on a bounded open set in Omega aS, a"e (n) in the limiting Sobolev case is bounded from L (p(center dot))(Omega) into BMO(Omega), if p(x) satisfies the standard logcondition and alpha(x) is Holder con...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2018
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| Texto completo: | http://hdl.handle.net/10400.1/11563 |
| País: | Portugal |
| Oai: | oai:sapientia.ualg.pt:10400.1/11563 |
| Resumo: | We show that the Riesz fractional integration operator I (alpha(center dot)) of variable order on a bounded open set in Omega aS, a"e (n) in the limiting Sobolev case is bounded from L (p(center dot))(Omega) into BMO(Omega), if p(x) satisfies the standard logcondition and alpha(x) is Holder continuous of an arbitrarily small order. |
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