论文标题
尺寸压缩和在同态下的膨胀，具有指数性的失真
Dimension compression and expansion under homeomorphisms with exponentially integrable distortion
论文作者
论文摘要
我们以$ p $ - 指数的整合失真为同态的尺寸压缩和扩展范围。在第一个方向上，我们还引入了压缩多重谱光谱的估计值，该光谱将用于估计维数的压缩以及旋转多型光谱。为了建立扩展案例，我们使用反向映射的多重谱光谱，并构造了证明清晰度的示例。
We improve both dimension compression and expansion bounds for homeomorphisms with $p$-exponentially integrable distortion. To the first direction we also introduce estimates for the compression multifractal spectra, which will be used to estimate compression of dimension, and for the rotational multifractal spectra. For establishing the expansion case we use the multifractal spectra of the inverse mapping and construct examples proving sharpness.
