most citedOne-parameter and multiparameter function classes are intersections of finitely many dyadic classes

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math.CA2012★ 1 cited

One-parameter and multiparameter function classes are intersections of finitely many dyadic classes

Ji Li, Jill Pipher, Lesley A. Ward

We prove that the class of Muckenhoupt A_p weights coincides with the intersection of finitely many suitable translates of dyadic A_p, in both the one-parameter and multiparameter…

math.CA2010

Geometric-arithmetic averaging of dyadic weights

Jill Pipher, Lesley Ward, Xiao Xiao

The theory of (Muckenhoupt) weights arises in many areas of analysis, for example in connection with bounds for singular integrals and maximal functions on weighted spaces. We prov…