Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial ...

We generalize the Hardy-Littlewood maximal functions to vector-valued functions taking values in a Banach space with a varying weight, t ↦ ρt, which satisfies a reverse Hölder condition, and prove ...

This provides a vector-valued analogue of results for composition operators which are due to Sarason, Shapiro and Sundberg, as well as Cima and Matheson. We also consider the operators Cφ on certain ...