Some estimates for maximal functions on Köthe functions spaces
A Köthe function space is a Banach space \(X\) consisting of (equivalence classes) of measurable locally integrable functions on a \(\sigma\)-finite measure space satisfying the following two conditions: (i) If \(f\) and \(g\) are measurable, \(g\in X\), \(|f(x)|\leq |g(x)|\) almost everywhere then \(f\in X\). (ii) The characteristic functions of sets with finite measure belong to \(X\). The authors study two-weight inequalities for the Hardy-Littlewood maximal operator acting on \(X\)-valued functions. The case of sequence spaces is emphasized.
scientific article; zbMATH DE number 784925
scientific article