Vector-valued inequalities in the Morrey type spaces (Q2260331)

Summary: We will obtain strong type and weak type estimates for vector-valued analogues of the classical Hardy-Littlewood maximal function, weighted maximal functions, and singular integral operators in the weighted Morrey spaces \(L^{p,k}(w)\) when \(1 \leq p \leq \infty\) and \(0 \leq k \leq 1\), and in the generalized Morrey spaces \(L^{p,\varPhi}\) for \(1 \leq p \leq \infty\), where \(\varPhi\) is a growth function on \((0, \infty)\) satisfying the doubling condition.