Xu's conjecture on Laguerre Bochner–Riesz means
Xu's conjecture. If λ≤∣α∣1+d−12\lambda\leq |\alpha|_1+d-\frac{1}{2}λ≤∣α∣1+d−21 and 1<p<∞1<p<\infty1<p<∞, then SRλ(Lα)fS_R^{\lambda}(L_{\alpha})fSRλ(Lα)f converges in Lp(R+,x2α+1 dx)L^p(\mathbb{R}_{+},x^{2\alpha+1}\,dx)Lp(R+,x2α+1dx) if and only if…