Variation inequalities related to Schrödinger operators on weighted Morrey spaces. (English) Zbl 1440.42072
Summary: 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.
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B35 | Function spaces arising in harmonic analysis |
| 34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |
Keywords:
Schrödinger operators; variation operators; Riesz transforms; commutators; weighted Morrey spacesReferences:
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