Preprint
Jun 2026
Operators on Orlicz sequence spaces and $\Delta_2$-fundamentality
A classical result states that the Hardy--Littlewood maximal operator is bounded on an Orlicz space $L^A(\mathbb{R}^n)$ if and only if its conjugate Young function $\tilde{A}$ satisfies the $\Delta_2$-condition. The same condition also characterizes the boundedness on $L^A(0,\infty)$ of the Hardy averaging operator. We...
David E. Edmunds, Jan Krejvc'i, Zdenvek Mihula et al.
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