Sharp estimates for the non-centered maximal operator associated to Gaussian and other radial measures |
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| Authors: | Peter Sjögren Fernando Soria |
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| Institution: | a Department of Mathematics, Göteborg University, SE-412 96 Göteborg, Sweden
b Department of Mathematics, Universidad Autónoma de Madrid, 28049 Madrid, Spain |
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| Abstract: | In this work we investigate the integrability properties of the maximal operator Mμ, associated with a non-doubling measure μ defined on the Euclidean space  , with special emphasis on the Gaussian and similar measures. Among other results we show for a wide class of radial and decreasing measures μ, that Mμ satisfies the modular inequality |
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| Keywords: | 42B25 |
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