Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm
| dc.creator | Karlovich, Alexei Yu. | |
| dc.date | 2007-04-30 | |
| dc.date.accessioned | 2026-07-07T07:58:48Z | |
| dc.date.available | 2026-07-07T07:58:48Z | |
| dc.description | Suppose $Γ$ is a Carleson Jordan curve with logarithmic whirl points, $\varrho$ is a Khvedelidze weight, $p:Γ\to(1,\infty)$ is a continuous function satisfying $|p(τ)-p(t)|\le -\mathrm{const}/\log|τ-t|$ for $|τ-t|\le 1/2$, and $L^{p(\cdot)}(Γ,\varrho)$ is a weighted generalized Lebesgue space with variable exponent. We prove that all semi-Fredholm operators in the algebra of singular integral operators with $N\times N$ matrix piecewise continuous coefficients are Fredholm on $L_N^{p(\cdot)}(Γ,\varrho)$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3973 | |
| dc.identifier | http://arxiv.org/abs/0704.3973 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128139 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B35; 47A53; 45E05; 46E30 | |
| dc.title | Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm | |
| dc.type | text |