On functions having coincident ρ-norms
| 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.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.identifier.uri | https://openscience.sissa.it/handle/1963/35332 | |
| 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 |