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<p>For 1 &lt; <i>p</i> &lt; ∞, Coifman-Rochberg-Weiss established <i>L</i><sup><i>p</i></sup> boundedness of commutators of smooth kernels. Later, many works tried to weaken the smooth condition. In this paper, we extend these mentioned results to the case of non-homogeneous but with strong Hörmander condition. Our main skills lie in wavelet decomposition, wavelet commutators, Hardy-Littlewood maximal operator and Fefferman-Stein’s vector-valued maximum function Theorem.</p>

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Lp boundedness of commutator and Hörmander condition

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • Qixiang Yang,
  • Haibo Yang,
  • Chitin Hon,
  • Tao Qian

摘要

For 1 < p < ∞, Coifman-Rochberg-Weiss established Lp boundedness of commutators of smooth kernels. Later, many works tried to weaken the smooth condition. In this paper, we extend these mentioned results to the case of non-homogeneous but with strong Hörmander condition. Our main skills lie in wavelet decomposition, wavelet commutators, Hardy-Littlewood maximal operator and Fefferman-Stein’s vector-valued maximum function Theorem.