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A note on the weighted Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic invariant integral on \(\mathbb Z_p\). (English) Zbl 1262.11100

Summary: We give the weighted Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic invariant integral on \(\mathbb Z_p\).

MSC:

11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
28A25 Integration with respect to measures and other set functions
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