On the A_2 inequality for Calderon-Zygmund Operators

Abstract

We prove that for a Calderon-Zygmund operator and weight w\in A_2, that it satisfies the linear in A2 bound due to Hytonen. Our proof will appeal to a distributional inequality used by several authors, adapted Haar functions, and standard stopping times.

8 pages. v2: A hyperlink in the references is fixed

References in corpus (3)

• Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$
• Sharp $A_2$ estimates of Haar shifts via Bellman function
• A sharp estimate of weighted dyadic shifts of complexity 0 and 1

Cited by in corpus (2)

• Commutators in the Two-Weight Setting
• Weighted estimates for dyadic paraproducts and t-Haar multipiers with complexity (m,n)