薛定諤算子相關(guān)的黎斯位勢的交換子的端點(diǎn)估計(jì)(英文)
發(fā)布時(shí)間:2018-06-20 02:32
本文選題:薛定諤算子 + 交換子 ; 參考:《數(shù)學(xué)進(jìn)展》2017年03期
【摘要】:對與薛定諤算子L=-△+V(·)相關(guān)的黎斯位勢L~(-β/2),本文得到了交換子的端點(diǎn)型估計(jì),即L~(-β/2)_b(f)(x)=b(x)L~(-β/2)(f)(x)-L~(-β/2)(bf)(x)是L~(d/β)(R~d)到BMO_L或BLO_L有界的,其中位勢函數(shù)V(·)滿足反H?lder不等式,b(x)∈BMO_θ(ρ).
[Abstract]:In this paper, we obtain an estimate of the end type of commutator for the Riesz potential Ln- 尾 / 2n associated with the Schr 枚 dinger operator L ~ (-V (), that is, L ~ (-)-尾 / 尾 ~ (2 / 2) -L ~ (+) -L ~ (+) P / L ~ (2) P / L ~ (2) P / P ~ (2) P / R ~ (2) is bound to BMOL or BLOL, in which the potential function V () satisfies the anti-Hlder inequality BX) 鈭,
本文編號:2042530
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