On Hardy spaces associated with certain Schrödinger operators in dimension 2
Summary: We study the Hardy space \(H^1\) associated with the Schrödinger operator \(L=-\Delta +V\) on \(\mathbb R^2\), where \(V\geq 0\) is a compactly supported non-zero \(C^2\)-potential. We prove that this space, which is originally defined by means of the maximal function associated with the semigroup generated by \(-L\), admits a special atomic decomposition with atoms satisfying a~weighted cancellation condition with a weight of logarithmic growth.
scientific article; zbMATH DE number 6109705