On the Product of Functions in BMO and H^\text{1}
On the Product of Functions in BMO and H^\text{1}
The point-wise product of a function of bounded mean oscillation with a function of the Hardy space H 1 is not locally integrable in general. However, in view of the duality between H 1 and BMO, we are able to give a meaning to the product as a Schwartz distribution. …