Variation inequalities related to Schrödinger operators on weighted Morrey spaces

Abstract

This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

Keywords

• schrödinger operators
• variation operators
• riesz transforms
• commutators
• weighted morrey spaces
• 42b20
• 42b35