摘要
We introduce the BMO-type space bmoρ(ω) and establish the duality between h_ρ~1(ω) and bmo _ρ(ω),where ω∈A_1^(ρ, ∞)(R^n) and ω's locally behave as Muckenhoupt's weights but actually include them. We also give the Fefferman-Stein type decomposition of bmoρ(ω) with respect to Riesz transforms associated to Schrdinger operator L, where L =-? + V is a Schrdinger operator on R^n(n≥3) and V is a non-negative function satisfying the reverse Hlder inequality.
We introduce the BMO-type space bmo ρ(w) and establish the duality between h^1ρ(ω) and bmo ρ(ω),where ω∈A1^ρ∞(R^n) and ω's locally behave as Muckenhoupt's weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop(ω) with respect to Riesz transforms associated to Schrodinger operator L,where L=-△+V is a SchrSdinger operator on R^2 (n≥3) and V is a non-negative function satisfying the reverse HSlder inequality.
基金
supported by National Natural Science Foundation of China(Grant Nos.11426038 and 11271024)