高阶Schrodinger型算子生成的热半群的变分算子的有界性
Boundedness of variation operators associated with the heat semigroup generated by high order Schrödinger type operators
摘要：
本文给出了由高阶Schrödinger型算子$(-Δ)^2+V^2$生成的热半群所对应的变分算子的$L^p$ -有界性.进一步证明了Morrey空间上变分算子的有界性。在主要结果的证明中，我们总是利用由双调和算子$(-Δ)^2.$生成的热半群的变分不等式
英文摘要：
In this paper, we derive the $L^p$-boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schrödinger type operator $(-Δ)^2+V^2$. Further more, we prove the boundedness of the variation operators on Morrey spaces. In the proof of the main results, we always make use of the variation inequalities associated with the heat semigroup generated by the biharmonic operator $(-Δ)^2.$
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