Weight criteria for embedding of the weighted Sobolev–Lorentz spaces to the weighted Besov–Lorentz spaces built upon certain mixed norms and iterated rearrangement are investigated. This gives an improvement of some known Sobolev embedding. We achieve the result based on different norm inequalities for the weighted Besov–Lorentz spaces defined in some mixed norms.

中文翻译：

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加权 SOBOLEV-LORENTZ 空间的嵌入定理

研究了将加权 Sobolev-Lorentz 空间嵌入到基于某些混合范数和迭代重排的加权 Besov-Lorentz 空间的权重标准。这改进了一些已知的 Sobolev 嵌入。我们基于在一些混合范数中定义的加权 Besov-Lorentz 空间的不同范数不等式来实现结果。