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Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting

Volume 262 / 2022

Jacek Dziubański, Agnieszka Hejna Studia Mathematica 262 (2022), 275-303 MSC: Primary 42B20, 42B25; Secondary 47B38, 47G10. DOI: 10.4064/sm200716-16-4 Published online: 19 November 2021

Abstract

We prove upper and lower $L^p$ estimates, $1 \lt p \lt \infty $, for the Littlewood–Paley square functions in the rational Dunkl setting.

Authors

  • Jacek DziubańskiInstytut Matematyczny
    Uniwersytet Wrocławski
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail
  • Agnieszka HejnaInstytut Matematyczny
    Uniwersytet Wrocławski
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail

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