Let A=-（ -ia）·（ -ia）＋V be a magnetic Schrodinger operator on L^2（R^n）,n〉2,where a：=（a1,…,an）∈Lloc^2（R^n,R^n） and 0≤V ∈Lloc^1（R^n）.In this paper, we show that for a function b in Lipschitz space...Let A=-（ -ia）·（ -ia）＋V be a magnetic Schrodinger operator on L^2（R^n）,n〉2,where a：=（a1,…,an）∈Lloc^2（R^n,R^n） and 0≤V ∈Lloc^1（R^n）.In this paper, we show that for a function b in Lipschitz space Lipa（R^n）with a∈（0,1）,the commutator [b,V1/2A^-1/2]is bounded from L^p（R^n）to L^q（R^n）,where p,q∈（1,2] and 1/p-1/q=a/n.展开更多
基金supported by the National Natural Science Foundation of China (No.11671031 and No.11471018)the Fundamental Research Funds for the Central Universities (No.FRF-BR-17-004B)Program for New Century Excellent Talents in University,Beijing Municipal Science and Technology Project (No.Z17111000220000)
文摘Let A=-（ -ia）·（ -ia）＋V be a magnetic Schrodinger operator on L^2（R^n）,n〉2,where a：=（a1,…,an）∈Lloc^2（R^n,R^n） and 0≤V ∈Lloc^1（R^n）.In this paper, we show that for a function b in Lipschitz space Lipa（R^n）with a∈（0,1）,the commutator [b,V1/2A^-1/2]is bounded from L^p（R^n）to L^q（R^n）,where p,q∈（1,2] and 1/p-1/q=a/n.
