论文标题
在高斯环境中的谐波操作员的变化和振荡
Variation and oscillation for harmonic operators in the inverse Gaussian setting
论文作者
论文摘要
我们证明了与某些算子的某些半群的分数衍生物以及Riesz的截断家族在反相反的环境中转换的差异和振荡。我们还通过考虑带有UMD-Property的Banach空间，其Martingale Cotype少于变异指数，我们还研究了Banach值得背景下的这些变异$ l^p $ iNEQUALITIT。我们建立了$ l^p $结合的属性，用于涉及所考虑的半群的加权差异。
We prove variation and oscillation $L^p$-inequalities associated with fractional derivatives of certain semigroups of operators and with the family of truncations of Riesz transforms in the inverse Gaussian setting. We also study these variational $L^p$-inequalities in a Banach-valued context by considering Banach spaces with the UMD-property and whose martingale cotype is fewer than the variational exponent. We establish $L^p$-boundedness properties for weighted difference involving the semigroups under consideration.
