On $L^p$-improving measures

Anthony H. Dooley; Kathryn E. Hare; Maria Roginskaya

doi:10.4171/rmi/913

JournalsrmiVol. 32, No. 4pp. 1211–1226

On $L^{p}$ -improving measures

Anthony H. Dooley
University of Technology Sydney, Ultimo, Australia
Kathryn E. Hare
University of Waterloo, Waterloo, Canada
Maria Roginskaya
Chalmers University of Technology, Gothenburg, Sweden

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Abstract

We give criteria for establishing that a measure is $L^{p}$ -improving. Many Riesz product measures and Cantor measures satisfy this criteria, as well as certain Markov measures.

Cite this article

Anthony H. Dooley, Kathryn E. Hare, Maria Roginskaya, On $L^{p}$ -improving measures. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1211–1226

DOI 10.4171/RMI/913