SISSA Preprints

On functions having coincident ρ-norms

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dc.contributor.author Klun, Giuliano
dc.date.accessioned 2019-03-25T15:51:18Z
dc.date.available 2019-03-25T15:51:18Z
dc.date.issued 2019-03-25
dc.identifier.uri http://preprints.sissa.it:8180/xmlui/handle/1963/35332
dc.description 13 pages en_US
dc.description.abstract In a measure space (X;A; μ) we consider two measurable functions ƒ; g : E → R for some E ∈ A. We characterize the property of having equal p-norms when ρ varies in an infinite set P in [1;+∞). In a first theorem we consider the case of bounded functions when P is unbounded with ∑p∈P(1/p) = +∞ . The second theorem deals with the possibility of unbounded functions, when P has a finite accumulation point in [1, + ∞ ). en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;03/2019/MATE
dc.subject Lebesgue integrable functions en_US
dc.subject Mellin transform en_US
dc.title On functions having coincident ρ-norms en_US
dc.type Preprint en_US


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