Calderón—Zygmund Operators and Commutators in Spaces of Homogeneous Type: Weighted Inequalities

The recent proof of the sharp weighted bound for Calderón-Zygmund operators has led to much investigation in mixed bounds and commutators, that is, a is product at least two different Ap weight constants. reason why these are sought after will be strictly smaller than original one-constant bound. We prove variety spaces homogeneous type, using new techniques Lerner, both commutators.