A counterexample to a weak-type estimate for potential spaces and tangential approach regions
Abstract
Description
We show that for every nontrivial potential space $L^{1}_{K}(\mathbb{R}^{n})$, there exists an approach region for which the associated maximal function is of weak-type, but the boundedness for the completed region is false, which is in contrast with the nontangential case.
10 pages
10 pages