We study the entropy numbers of the compact embeddings between smoothness Morrey spaces on bounded domains. Here we discover a new phenomenon when the difference of smoothness parameters in the source and target spaces is rather small compared with the influence of the fine parameters in the Morrey setting. In view of some partial forerunners this was not to be expected till now. Our argument relies on wavelet decomposition techniques of the function spaces and a careful study of the related sequence space setting.

中文翻译：

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有界域上光滑Morrey空间紧嵌入的熵数。

我们研究了有界域上的光滑Morrey空间之间的紧凑嵌入的熵数。在这里，当源和目标空间中的平滑度参数的差异与Morrey设置中的精细参数的影响相比很小时，我们发现了一个新现象。鉴于一些先行者，到现在为止这是无法预期的。我们的论点依赖于函数空间的小波分解技术以及对相关序列空间设置的仔细研究。