Bochner-Riesz算子及其交换子在加权(L_ω~q,L^p)~α(R^n)空间上的有界性

The Boundedness of Bochner-Riesz Operators and the Commutator on Weighted(L_ω~q,L^p)~α(R^n)Spaces

利用Ap权性质及分析中的不等式,得到Bochner-Riesz算子Tn-12R及由BMO(Rn)函数b(x)和TδR(δ≥(n-1/2))生成的交换子在加权共合空间(Lqω,Lp)α(Rn)上的有界性,其中1<q≤α<p≤∞.

To use the nature of Ap weight and inequality ,this paper obtains the boundedness of Bochner‐Riesz operators Tn‐1R2 andthecommutatorformedbyaBMO（Rn）functionb（x）and TδR（δ≥ n-12 ）ontheweighted（Lqω ,Lp）α（Rn）spaces, w here 1〈 q≤α＆lt; p≤ ∞ .