Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)
Summary: Recently, the Lebesgue-Radon-Nikodym theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\) was studied by the first author [Russ. J. Math. Phys. 19, No. 2, 193--196 (2012; Zbl 1284.11154)]. In this paper we give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). In special case, \(q = 1\), we can derive the same results as Kim.
scientific article; zbMATH DE number 5964407
scientific article