Relations between ${\mathcal{L}}^p$- and Pointwise Convergence of Families of Functions Indexed by the Unit Interval

Vaios Laschos, Christian Mönch

We construct a variety of mappings of the unit interval into ${\mathcal{L}}^p([0,1])$ to generalize classical examples of ${\mathcal{L}}^p$-convergence of sequences of functions with s…