Distorted Hankel integral operators
| dc.creator | Aleksandrov, A. B. | |
| dc.creator | Peller, V. V. | |
| dc.date | 2002-12-20 | |
| dc.date.accessioned | 2026-07-07T04:53:58Z | |
| dc.date.available | 2026-07-07T04:53:58Z | |
| dc.description | For $\a,\b>0$ and for a locally integrable function (or, more generally, a distribution) $\f$ on $(0,\be)$, we study integral ooperators ${\frak G}^{\a,\b}_\f$ on $L^2(\R_+)$ defined by $\big({\frak G}^{\a,\b}_\f f\big)(x)=\int_{\R_+}\f\big(x^\a+y^\b\big)f(y)dy$. We describe the bounded and compact operators ${\frak G}^{\a,\b}_\f$ and operators ${\frak G}^{\a,\b}_\f$ of Schatten--von Neumann class $\bS_p$. We also study continuity properties of the averaging projection $\Q_{\a,\b}$ onto the operators of the form ${\frak G}^{\a,\b}_\f$. In particular, we show that if $\a\le\b$ and $\b>1$, then ${\frak G}^{\a,\b}_\f$ is bounded on $\bS_p$ if and only if $2\b(\b+1)^{-1}<p<2\b(\b-1)^{-1}$. | |
| dc.identifier | https://arxiv.org/abs/math/0212293 | |
| dc.identifier | http://arxiv.org/abs/math/0212293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66061 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Combinatorics | |
| dc.subject | Category Theory | |
| dc.subject | Complex Variables | |
| dc.subject | 47B35, 47G10, 46E, 46F | |
| dc.title | Distorted Hankel integral operators | |
| dc.type | text |