A note on the Analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on [InlineEquation not available: see fulltext.]

A note on the Analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on [InlineEquation not available: see fulltext.]

We give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on [InlineEquation not available: see fulltext.]. In a special case, when the weight [InlineEquation not available: see fulltext.] is 1, we can derive the same result as Kim et al. (Abstr. Appl. An...

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Veröffentlicht in:Journal of inequalities and applications 2013-12, Vol.2013 (1), p.1-7
Hauptverfasser: Pak, Hong Kyung, Rim, Seog Hoon, Jeong, Joohee
Format: Artikel
Sprache:eng
Schlagworte:
Analogue
Inequalities
Mathematics
Theorems
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Zusammenfassung:We give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on [InlineEquation not available: see fulltext.]. In a special case, when the weight [InlineEquation not available: see fulltext.] is 1, we can derive the same result as Kim et al. (Abstr. Appl. Anal. 2011:637634, 2011). And if [InlineEquation not available: see fulltext.], we have the same result as Kim (Russ. J. Math. Phys. 19:193-196, 2012). MSC: 11B68, 11S80.
ISSN:1025-5834
1029-242X
DOI:10.1186/1029-242X-2013-15