Studies on concave Young-functions
| dc.creator | Agbeko, N. K. | |
| dc.date | 2006-05-07 | |
| dc.date.accessioned | 2026-07-07T10:19:54Z | |
| dc.date.available | 2026-07-07T10:19:54Z | |
| dc.description | We succeeded to isolate a special class of concave Young-functions enjoying the so-called \emph{density-level property}. In this class there is a proper subset whose members have each the so-called degree of contraction denoted by $c^{\ast}$, and map bijectively the interval $[ c^{\ast}, \infty) $ onto itself. We constructed the fixed point of each of these functions. Later we proved that every positive number $b$ is the fixed point of a concave Young-function having $b$ as degree of contraction. We showed that every concave Young-function is square integrable with respect to a specific Lebesgue measure. We also proved that the concave Young-functions possessing the density-level property constitute a dense set in the space of concave Young-functions with respect to the distance induced by the $L^{2}$-norm. | |
| dc.identifier | https://arxiv.org/abs/math/0605180 | |
| dc.identifier | http://arxiv.org/abs/math/0605180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174678 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Primary 47H10, 47H11,26A18; Secondary 26A06, 26A09,33B30, 37C25 | |
| dc.title | Studies on concave Young-functions | |
| dc.type | text |