6533b823fe1ef96bd127dfe7
RESEARCH PRODUCT
On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn
Hannes Luirosubject
Sobolev spaceDiscrete mathematicsPure mathematicsGeneral MathematicsOperator (physics)Maximal operatorMaximal functionMathematicsdescription
AbstractWe establish the continuity of the Hardy-Littlewood maximal operator on W1,p(Ω), where Ω ⊂ ℝn is an arbitrary subdomain and 1 < p < ∞. Moreover, boundedness and continuity of the same operator is proved on the Triebel-Lizorkin spaces Fps,q (Ω) for 1 < p,q < ∞ and 0 < s < 1.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-12 | Proceedings of the Edinburgh Mathematical Society |