Tag Archives: BMO

An easy proof of the John-Nirenberg Inequality

One of fundamental theorem in the space of bounded mean oscilation is the John-Nirenberg inequality. Theorem(John-Nirenberg). Let . Then     for all where , . In particular,     where . There are several proofs. Stein(1994 Monograph) gives a proof by using -BMO duality inequality. Here we give another proof based on dyadic decomposition… Read More »