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变量各向异性的非齐次拟微分象征类
Variable Anisotropic Class of Inhomogeneous Pseudo-differential Symbols
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，是Rn，上的连续多尺度椭球覆盖Θ的中心正则子覆盖.本文引入了一类适应于椭球子覆盖的非齐次拟微分象征类S0δ，δ（），0≤δ<1.此象征类推广了经典的各向齐性非齐次象征类S0δ，δ（In），其中In是n×n的单位矩阵.然后本文将一个经典的L2（Rn）有界性结果推广到了此象征类S0δ，δ（）的情形下.
Let be a central regular ellipsoid subcover of a continuous multi-level ellipsoid cover Θ of Rn. We introduce a class of inhomogeneous pseudo-differential symbols S0δ，δ() adapted to , which generalizes the classical isotropic inhomogeneous class S0δ，δ(In), where 0 ≤ δ < 1 and In is an identity n×n matrix. We extend a well-known L2(Rn)-boundedness result to the variable anisotropic inhomogeneous class S0δ，δ().
拟微分算子 / 各向异性 / 有界性 / 椭球 {{custom_keyword}} /
pseudo-differential operator / anisotropy / boundedness / ellipsoid {{custom_keyword}} /
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国家自然科学基金资助项目（11861062）；新疆创新环境（人才、基地）建设专项—自然科学计划（自然科学基金）联合基金（2020D01C048）
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