For $1<p<\infty$, Coifman-Rochberg-Weiss established $L^{p}$ 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.
Qixiang YANG
,
Haibo YANG
,
Chitin HON
,
Tao QIAN
. $L^P$ BOUNDEDNESS OF COMMUTATOR AND HÖRMANDER CONDITION[J]. Acta mathematica scientia, Series B, 2025
, 45(5)
: 2171
-2189
.
DOI: 10.1007/s10473-025-0519-6
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