Weights and L log L
Let \(\omega\) (x) be a positive locally integrable weight on [0,1]. Discussed are conditions on \(\omega\) necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into \(L^ 1(\omega\) dx) or into weak \(L^ 1\).
scientific article; zbMATH DE number 3935681