4 problems

Let $a\in\mathbb{R}^d$ have positive coordinates satisfying $\sum_{j=1}^d a_j=d$. Let $K_a$ be the anisotropic kernel defined by … where $S^{d-1}$ is the unit sphere. Set…

Maz'ya's $\Phi$-inequality conjecture. Under these assumptions,

Projective moving-average divergence conjecture.

Let $d_0$ denote the true fractional integration parameter, and let the Whittle estimator be the frequency-domain estimator discussed above. Boundary consistency conjecture. When…