Marcinkiewicz integrals associated with Schr\"{o}dinger operator on Campanato type spaces

Abstract

The boundedness of the Marcinkiewicz integrals associated with Schr\"{o}dinger operator from the localized Morrey-Campanato space to the localized Morrey-Campanato-BLO space is established. Similar results for the Marcinkiewicz integrals associated with the Schr\"{o}dinger operator with rough kernels were also investigated.