On the \(L^2\)-pointwise regularity of functions in critical Besov spaces
The main aim of the paper is to prove that for any \[ f \in \bigcap_{p>0} \dot{B}^{n(1/p - 1/2)}_{p,p} (\mathbb R^n) \] there is a set \(E\) in \(\mathbb R^n\) of Hausdorff dimension zero such that \(f\) has the additional pointwise regularity \(f \in C^\infty_{L_2} (x)\) if \(x \not\in E\).
scientific article; zbMATH DE number 2109943