This paper is devoted to the Lp boundedness of the Riesz transform associated to the Schrodinger operator in divergence form L=-div(A del)+V. More precisely, we get the result that del L-1/2fLp(Rn)<= CfLp(Rn) for all 1<p<infinity, if L is real symmetric with bounded, measurable, BMO theta(rho) coefficients on Rn and the non-negative potential V belongs to certain reverse Holder class.
机构:
Cent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
Deng, Qingquan
Ding, Yong
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R ChinaCent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
Ding, Yong
Yao, Xiaohua
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Cent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Dept Math, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China