A note on the Lebesgue-Radon-Nikodym theorem with respect to weighted and twisted \(p\)-adic invariant integral on \(\mathbb Z_p\)

zbMATH Open1377.11122MaRDI QIDQ2831717

Seog-Hoon Rim, Joohee Jeong, Jin-Woo Park, Joung-Hee Jin

Publication date: 10 November 2016

Published in: Notes on Number Theory and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: http://nntdm.net/papers/nntdm-21/NNTDM-21-1-10-17.pdf

zbMATH Keywords

\(p\)-adic invariant integral\(p\)-adic \(q\)-measureLebesgue-Radon-Nikodym theorem

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Integration with respect to measures and other set functions (28A25) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (3)

A note on the analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) ⋮ Lebesgue-Radon-Nikodým theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\) ⋮ A New Approach to the Lebesgue-Radon-Nikodym Theorem. with respect to Weighted p-adic Invariant Integral on ℤ_p

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