On directional maximal operators associated with generalized lacunary sets
| dc.creator | Karagulyan, G. A. | |
| dc.date | 2005-11-19 | |
| dc.date.accessioned | 2026-07-07T06:51:28Z | |
| dc.date.available | 2026-07-07T06:51:28Z | |
| dc.description | Let $Ω$ be any set of directions (unit vectors) on the plane. We study maximal operators defined by \md0 M_Ωf(x)=\sup_{δ>0, ω\in Ω} \frac{1}{2δ}\int_{-δ}^δ|f(x+tω)|dt. \emd for the generalized lacunary sets $Ω$ associated with an integer $μ>0$. It is proved the following sharp inequality: $$ \|M_Ωf(x)\|_2\lesssim \sqrtμ \|f\|_2. $$ | |
| dc.identifier | https://arxiv.org/abs/math/0511480 | |
| dc.identifier | http://arxiv.org/abs/math/0511480 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104994 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42J25 | |
| dc.title | On directional maximal operators associated with generalized lacunary sets | |
| dc.type | text |