Weighted Norm Inequalities for Spectral Multipliers without Gaussian Estimates

作者：The Anh Bui^*

来源：Tokyo Journal of Mathematics, 2014, 37(2): 373-384.

DOI：10.3836/tjm/1422452798

• spectral multipliers
• singular integrals
• weights

Let L be a nonnegative self-adjoint operator on L-2(R-n) satisfying the full off-diagonal estimates L-q0 - L-2 for some q(0) is an element of [1, 2). In this paper, we study the sharp weighted L-p estimates for the spectral multipliers of the operator L and their commutators with BMO functions b. As an application, we study the weighted norm inequalities for spectral multipliers of Schrodinger operators with negative potentials.

• 出版日期2014-12