MathProblemsBank

19.6.1.11 Lebesgue measure and integration

Problem: Let \( f \) be an integrable function on the set \( E, g, h \) are measurable on \( E \). What can be said about the integrability of \( g, h \), if: \( f=g \cdot h, g, h>0 \).

-> Lebesgue measure and integration