Generalized Schrodinger operator;
Hardy type space;
Riesz transform;
Molecular decomposition;
D O I:
10.1186/s13660-019-2126-3
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let L=-+ be a generalized Schrodinger operator, where the measure is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) associated with L. As applications, we obtain the HL1-boundedness of Riesz transforms and the imaginary power related to L.
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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机构:
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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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
机构:
Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaMinist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Cao, Jun
Chang, Der-Chen
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机构:
Georgetown Univ, Dept Math, Washington, DC 20057 USA
Georgetown Univ, Dept Comp Sci, Washington, DC 20057 USA
Fu Jen Catholic Univ, Dept Math, Taipei 242, TaiwanMinist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Chang, Der-Chen
Yang, Dachun
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机构:
Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaMinist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Yang, Dachun
Yang, Sibei
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机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaMinist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
机构:
RUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia
NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, TurkeyRUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia
Guliyev, V. S.
Guliyev, R. V.
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机构:
Dumlupinar Univ, Dept Math, TR-43100 Kutahya, Turkey
NAS Azerbaijan, Inst Informat Technol, AZ-1141 Baku, AzerbaijanRUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia
Guliyev, R. V.
Omarova, M. N.
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机构:
NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
Baku State Univ, Z Khalilov Str 23, Baku 1141, AzerbaijanRUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia