论文标题

小波分解和嵌入概括的besov-morrey空间

Wavelet decomposition and embeddings of generalised Besov-Morrey spaces

论文作者

Haroske, Dorothee D., Moura, Susana D., Skrzypczak, Leszek

论文摘要

我们研究了广义的贝斯托夫 - 莫里空间之间的嵌入。证明了嵌入的充分和必要条件。还考虑了Besov-Morrey空间的嵌入到Lebesgue空间中。我们的方法需要对我们为Daubechies小波系统建立的空间进行小波表征。

We study embeddings between generalised Besov-Morrey spaces. Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the Lebesgue spaces are also considered. Our approach requires a wavelet characterisation of the spaces which we establish for the system of Daubechies wavelets.

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