One-sided invertibility of binomial functional operators with a shift in rearrangement-invariant spaces
| dc.creator | Karlovich, A. | |
| dc.creator | Karlovich, Yu. | |
| dc.date | 2000-10-17 | |
| dc.date.accessioned | 2026-07-07T04:38:05Z | |
| dc.date.available | 2026-07-07T04:38:05Z | |
| dc.description | Let $Γ$ be an oriented Jordan smooth curve and $α$ be a diffeomorphism of $Γ$ onto itself which has an arbitrary nonempty set of periodic points. We prove criteria for one-sided invertiblity of the binomial functional operator \[ A=aI-bW \] where $a$ and $b$ are continuous functions, $I$ is the identity operator, $W$ is the shift operator $Wf=f\circα$, in a reflexive rearrangement-invariant space $X(Γ)$ with Boyd indices $α_X,β_X$ and Zippin indices $p_X,q_X$ satisfying inequalities \[ 0<α_X=p_X\le q_X=q_X<1. \] | |
| dc.identifier | https://arxiv.org/abs/math/0010171 | |
| dc.identifier | http://arxiv.org/abs/math/0010171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60149 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 39B32, 47B38, 46E30, 47A10 | |
| dc.title | One-sided invertibility of binomial functional operators with a shift in rearrangement-invariant spaces | |
| dc.type | text |