Boundedness of variation operators and oscillation operators for certain semigroups

The Anh Bui

doi:10.1016/j.na.2014.04.014

Boundedness of variation operators and oscillation operators for certain semigroups

The Anh Bui^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In this paper, we study the boundedness of variation operators and oscillation operators for certain semigroups. As applications, this theory can be applied to various settings such as Schrödinger operators, degenerate Schrödinger operators on ℝⁿ and Schrödinger operators on Heisenberg groups and connected and simply connected nilpotent Lie groups.

Original language	English
Pages (from-to)	124-137
Number of pages	14
Journal	Nonlinear Analysis
Volume	106
DOIs	https://doi.org/10.1016/j.na.2014.04.014
Publication status	Published - Sept 2014

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abstract = "In this paper, we study the boundedness of variation operators and oscillation operators for certain semigroups. As applications, this theory can be applied to various settings such as Schr{\"o}dinger operators, degenerate Schr{\"o}dinger operators on ℝn and Schr{\"o}dinger operators on Heisenberg groups and connected and simply connected nilpotent Lie groups.",

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JO - Nonlinear Analysis

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Boundedness of variation operators and oscillation operators for certain semigroups

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