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- Title
The Commutators of Strongly Singular Integral Operators on the Weighted Hardy Spaces.
- Authors
Han, Yan Yan; Wu, Huo Xiong
- Abstract
Let T be a strongly singular Calderón-Zygmund operator and b ∈ Lloc(ℝn). This article finds out a class of non-trivial subspaces BMOω,p,n(ℝn)of BMO(ℝn) for certain ω ∈ A1, 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 ∈ BMOω,p,∞(ℝn), and is bounded from weighted Hardy space H ω p (ℝ n) to itself if T*1 = 0 and b ∈ BMOω,p,u(ℝn)for 1 < u < 2.
- Subjects
SINGULAR integrals; INTEGRAL operators; HARDY spaces; COMMUTATORS (Operator theory); CALDERON-Zygmund operator; COMMUTATION (Electricity)
- Publication
Acta Mathematica Sinica, 2021, Vol 37, Issue 12, p1909
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-021-1069-z