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Ergodic theorem in variable Lebesgue spaces |
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| Authors: | Przemysław Górka |
| Institution: | 1.Department of Mathematics and Information Sciences,Warsaw University of Technology,Warsaw,Poland |
| Abstract: | We prove an Ergodic Theorem in variable exponent Lebesgue spaces, whenever the exponent is invariant under the transformation. Moreover, a counterexample is provided which shows that the norm convergence fails to hold for an arbitrary exponent. |
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