论文标题
corrgiendum到“ $ a_1 $到$ a_ \ infty $:某些最大运营商的新混合不平等”
Corrgiendum to "From $A_1$ to $A_\infty$: new mixed inequalities for certain maximal operators''
论文作者
论文摘要
我们专用此注释是为了纠正有关广义最大函数混合不平等的估计$m_φ$,当假定相关Young函数的某些属性$m_φ$。 尽管所获得的估计结果略有不同,但它们是经典Hardy-Little Wiles Maximal功能$ M_R $的混合不平等现象的良好扩展,并带有$ r \ geq 1 $。它们还允许我们获得广义分数最大运算符$ m_ {γ,φ} $的混合估计,当$ 0 <γ<n $和$φ$是$ l \ log log l $ type函数时。
We devote this note to correct an estimate concerning mixed inequalities for the generalized maximal function $M_Φ$, when certain properties of the associated Young function $Φ$ are assumed. Although the obtained estimates turn out to be slightly different, they are good extensions of mixed inequalities for the classical Hardy-Littlewood maximal functions $M_r$, with $r\geq 1$. They also allow us to obtain mixed estimates for the generalized fractional maximal operator $M_{γ,Φ}$, when $0<γ<n$ and $Φ$ is an $L\log L$ type function.