3 problems

Let $k>2$ and consider traces on arbitrary sets $E\subset\mathbb R$ of functions whose $k$th modulus of smoothness is controlled by a prescribed modulus of smoothness of order $k$.…

Lie-group curve extension conjecture. The method of extending analytic functions by multiplying and dividing function values could also extend a smooth curve through a Lie group, u…

Let $\Omega$ be a compact convex subset, and let $f$ be a $C^2$-function on $\Omega$. Write $H_f(v)$ for the value of the Hessian quadratic form of $f$ on a vector $v$, and suppose…