Variation Inequalities Related to Schr\"odinger Operators on Morrey Spaces

Citation:

Jing ZHANG,Huoxiong WU.Variation Inequalities Related to Schr\"odinger Operators on Morrey Spaces[J].Chinese Annals of Mathematics B,2018,39(6):973~988
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Authors:

Jing ZHANG; Huoxiong WU

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11771358, 11471041) and the Open Foundation of the ``13th Five-Year" Discipline (Mathematics) of Xinjiang Uygur Autonomous Region (No.XJZDXK-M2017016).
Abstract: The authors establish the boundedness of the variation operators associated with the heat semigroup, Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schr\"odinger setting on the Morrey spaces.

Keywords:

Schr"odinger operators, Variation operators, Heat semigroups, Riesztransforms, Commutators, Morrey spaces

Classification:

42B20, 42B35
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