Corrgiendum to "From $A_1$ to $A_{\infty }$: new mixed inequalities for certain maximal operators''

Abstract

We devote this note to correct an estimate concerning mixed inequalities for the generalized maximal function $M_{\Phi }$, when certain properties of the associated Young function $\Phi$ 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 $r\ge 1$. They also allow us to obtain mixed estimates for the generalized fractional maximal operator $M_{\gamma ,\Phi }$, when $0<\gamma <n$ and $\Phi$ is an $L\log L$ type function.

15 pages. arXiv admin note: substantial text overlap with arXiv:2006.03612