Non-absolutely convergent integrals and singular integrals

Abstrakt

We define the packing integral (a kind of non-absolutely convergent integral) with respect to distributions of arbitrary order. Then we show that singular integrals can be interpreted as packing integrals with respect to generating distributions.

This allows us to consider singular integrals beyond L-1

Klíčová slova

• Non-absolutely convergent integrals
• singular integrals