Rearrangement-invariant norms commuting with dilations

Santiago Boza, Martin Křepela, Javier Soria

We study rearrangement-invariant spaces $X$ over $[0,\infty )$ for which there exists a function $h:(0,\infty )\to (0,\infty )$ such that \[ \|D_rf\|_X = h(r)\|f\|_X \] for all $f\in…