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强奇异积分算子的交换子在Hardy空间的连续性(英文)
Continuity for Commutators of Strongly Singular Integral Operators on Hardy Spaces
【摘要】 设1p>n/(n+δ/ε)和b∈BOM(Rn),本文证明了强奇异积分算子交换子的(Hpb,Lp)-型和(Hp,∞b,Lp,∞)-型有界性,其中Hpb和Hp,∞b分别为Hardy空间与弱Hardy空间的变形。
【Abstract】 Let 1p>n/(n+δ/ε),in this paper,the (H~p_b,L~p)-type and (H~ p,∞_b,L~ p,∞-type boundedness for the commutators of strongly singular integral operators and b∈BMO(R~n) are obtained,kwhere H~p_b and H~ p,∞_b are respectively,the variants or the Hardy spaces and weak Hardy spaces.
- 【文献出处】 数学理论与应用 ,Mathematical Theory and Applications , 编辑部邮箱 ,2006年01期
- 【分类号】O177.6
- 【下载频次】58