Let T be a strongly singular Calderon-Zygmund operator and b∈L_(loc)(R^(n)).This article finds out a class of non-trivial subspaces BMO_(ω,p,u)(R^(n))of BMO(R^(n))for certain ω∈A_(1),0<p≤1 and 1<u≤∞,such ...Let T be a strongly singular Calderon-Zygmund operator and b∈L_(loc)(R^(n)).This article finds out a class of non-trivial subspaces BMO_(ω,p,u)(R^(n))of BMO(R^(n))for certain ω∈A_(1),0<p≤1 and 1<u≤∞,such that the commutator[b,T]is bounded from weighted Hardy space H_(ω)^(p)(R^(n))to weighted Lebesgue space L_(ω)^(p)(R^(n))if b∈BMO_(ω,p,∞)(R^(n)),and is bounded from weighted Hardy space H_(ω)^(p)(R^(n)) to itself if T^(∗)1=0 and b∈BMO_(ω,p,u)(R^(n))for 1<u<2.展开更多
基金Supported by the NNSF of China(Grant Nos.11771358,11871101,12171399)。
文摘Let T be a strongly singular Calderon-Zygmund operator and b∈L_(loc)(R^(n)).This article finds out a class of non-trivial subspaces BMO_(ω,p,u)(R^(n))of BMO(R^(n))for certain ω∈A_(1),0<p≤1 and 1<u≤∞,such that the commutator[b,T]is bounded from weighted Hardy space H_(ω)^(p)(R^(n))to weighted Lebesgue space L_(ω)^(p)(R^(n))if b∈BMO_(ω,p,∞)(R^(n)),and is bounded from weighted Hardy space H_(ω)^(p)(R^(n)) to itself if T^(∗)1=0 and b∈BMO_(ω,p,u)(R^(n))for 1<u<2.
