On a relationship between the integrabilities of various maximal functions |
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| Authors: | L. Ephremidze |
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| Affiliation: | (1) Present address: A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, Z. Rukhadze St., 380093 Tbilisi, Republic of Georgia |
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| Abstract: | It is shown that the right-sided, left-sided, and symmetric maximal functions of any measurable function can be integrable only simultaneously. The analogous statement is proved for the ergodic maximal functions. |
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| Keywords: | 42B25 28D05 |
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