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Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Published 3 Jul 2018 in math.CA and math.AP | (1807.00960v2)

Abstract: We obtain weak-type $(p, p)$ endpoint bounds for Bochner-Riesz means for the Hermite operator $H=-\Delta +|x|2$ in ${\mathbb R}n, n\geq 2$ and for other related operators for $1\leq p\leq 2n/(n+2)$, extending earlier results of Thangavelu and of Karadzhov.

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Authors (4)

  1. Peng Chen 
  2. Ji Li 
  3. Lesley A. Ward 
  4. Lixin Yan 

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