2016/02/21 by Israel P. Rivera-Rı́os, Israel P. Rivera-Ríos · 4 citations
Chemistry · Mathematics · #Advanced Harmonic Analysis Research #Bounded function #Chemistry #Combinatorics #Differential Equations and Boundary Problems #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Maximal operator #Operator (biology) #Poisson distribution #Statistics #math.CA
paper · pdf · doi:10.1515/conop-2017-0006
published in Concrete Operators 4(1), 58-75 (De Gruyter Open)
arxiv created 2016/02/21 · openalex publication_date 2017/01/26 · arxiv updated 2017/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea [30, 31] for the operator are obtained. As a consequence, some sufficient conditions for the boundedness of Min the two weight setting in the spirit of the results obtained by C. Pérez and E. Rela [26] and very recently by M. Lacey and S. Spencer [17] for the Hardy-Littlewood maximal operator are derived. As a byproduct some new quantitative estimates for the Poisson integral are obtained.