The product of two norms is bigger or equal to the norm of the same corresponding elem

See https://math.stackexchange.com/questions/2930418/why-is-the-product-of-two-norms-is-always-bigger-or-equal-to-the-norm-of-the-sam

Lp
Norm of product of two bounded functions

https://math.stackexchange.com/questions/1791210/lp-norm-of-product-of-two-bounded-functions