On a discrete version of Tanaka's theorem for maximal functions
In this paper we prove a discrete version of Tanaka's theorem for the Hardy-Littlewood maximal operator in dimension n = 1, both in the noncentered and centered cases. For the non-centered maximal operator M we prove that, given a function f: Z → R of bounded variation, =, where Var(f) represen...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2012
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