Let ∠= -△Hn+ V be the Schrdinger operator on the Heisenberg groups Hn,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates o...Let ∠= -△Hn+ V be the Schrdinger operator on the Heisenberg groups Hn,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates of the fractional integrals associated to ∠.展开更多
We consider the discrete Schrdinger operator acting on l 2(Z) with the potential V n, the sequence consisting of k+1 symbols: {0,1,2,…,k}, and prove that it exhibits purely continuous spectrum.
文摘Let ∠= -△Hn+ V be the Schrdinger operator on the Heisenberg groups Hn,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates of the fractional integrals associated to ∠.
文摘We consider the discrete Schrdinger operator acting on l 2(Z) with the potential V n, the sequence consisting of k+1 symbols: {0,1,2,…,k}, and prove that it exhibits purely continuous spectrum.