Schatten–Lorentz characterization of Riesz transform commutator associated with Bessel operators

Let Δ_λ be the Bessel operator on the upper half space ℝ_+^n+1 with n≥ 0 and λ>0, and R_λ,j be the j-th Bessel Riesz transform, j=1,…,n+1. We demonstrate that the Schatten–Lorentz norm (S^p,q, 1更多