Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)
type: Item
instance of: scholarly article
title: Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)
zbMATH Open document ID: 1262.11101
DOI: 10.1155/2011/637634
author: Juan-Miguel Gracia
published in: Abstract and Applied Analysis
publication date: 2011-10-27T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 28E99
zbMATH DE Number: 5964407
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/637634
OpenAlex ID: W2037784268
Wikidata QID: Q58654375
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description: scientific article; zbMATH DE number 5964407