论文标题
翻译以外的Delsarte
Translation beyond Delsarte
论文作者
论文摘要
我们将一般翻译作为Cauchy或Dirichlet问题的解决方案。这种观点使我们能够将热扩散半群作为翻译。通过给定的示例，给出了在某些$ l^p_μ$空间中的紧凑型集的Kolmogorov-Riesz表征。还得出了PEGO型特征。最后，指出了相应的平滑度和k函数模量的等效性。
We introduce general translations as solutions to Cauchy or Dirichlet problems. This point of view allows us to handle the heat-diffusion semigroup as a translation. With the given examples Kolmogorov-Riesz characterization of compact sets in certain $L^p_μ$ spaces are given. Pego-type characterizations are also derived. Finally for some examples the equivalence of the corresponding modulus of smoothness and K-functional is pointed out.
