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Akademický článek

Superposition operator problems of Hölder-Lipschitz spaces

Autor: Niu Yeli, Wang Heping

Publikováno v: Demonstratio Mathematica, Vol 57, Iss 1, Pp 1205-1213 (2024)

Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such t

Externí odkaz: https://doaj.org/article/90566d2c61934ee28460a595809a0137

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Discretization on high-dimensional domains

Autor: Buhmann, Martin, Dai, Feng, Niu, Yeli

Let $\mu$ be a Borel probability measure on a compact path-connected metric space $(X, \rho)$ for which there exist constants $c,\beta>1$ such that $\mu(B) \geq c r^{\beta}$ for every open ball $B\subset X$ of radius $r>0$. For a class of Lipschitz f

Externí odkaz: http://arxiv.org/abs/2011.04596