Monotone substochastic operators and a new Calder贸n couple
Monotone substochastic operators and a new Calder贸n couple
An important result on submajorization, which goes back to Hardy, Littlewood and P贸lya, states that $b\preceq a$ if and only if there is a doubly stochastic matrix $A$ such that $b=Aa$. We prove that under monotonicity assumptions on the vectors $a$ and $