The author considers the L^p boundedness for two kinds of Carleson-type maximal operators with variable kernels(Ω(x,y'))/(|y|~n),whereΩ(x,y')∈L~∞(R^n)×W_2~s(S^(n-1))for some s>0.
Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the He-valued joint eigenfunctions of L and T havin...Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the He-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan.展开更多
基金supported by the National Natural Science Foundation of China(Nos.11226103,11226102)the Doctor Foundation of Henan Polytechnic University(No.B2011-034)
文摘The author considers the L^p boundedness for two kinds of Carleson-type maximal operators with variable kernels(Ω(x,y'))/(|y|~n),whereΩ(x,y')∈L~∞(R^n)×W_2~s(S^(n-1))for some s>0.
基金supported by National Natural Science Foundation of China(Grant Nos.10871003 and 10990012)
文摘Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the He-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan.
