We study the Hardy space associated with the Schrödinger operator on , where is a compactly supported non-zero -potential. We prove that this space, which is originally defined by means of the maximal function associated with the semigroup generated by , admits a special atomic decomposition with atoms satisfying a~weighted cancellation condition with a weight of logarithmic growth.
Cite this article
Jacek Dziubański, Jacek Zienkiewicz, On Hardy spaces associated with certain Schrödinger operators in dimension 2. Rev. Mat. Iberoam. 28 (2012), no. 4, pp. 1035–1060DOI 10.4171/RMI/702