Embeddings of Weighted Generalized Morrey Spaces Into Lebesgue Spaces on Fractal Sets

被引：0
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作者：
Natasha Samko
机构：
[1] UiT The Arctic University of Norway,
来源：
Fractional Calculus and Applied Analysis | 2019年 / 22卷
关键词：
Primary 46E30; Secondary 43A85; 28A80; weighted Morrey spaces; quasi-metric measure spaces; fractal sets; upper and lower fractional dimensions; embedding;
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学科分类号：
摘要：
We study embeddings of weighted local and consequently global generalized Morrey spaces defined on a quasi-metric measure set (X, d, μ) of general nature which may be unbounded, into Lebesgue spaces Ls}(X), 1 ≤ s ≤ p < ∞. The main motivation for obtaining such an embedding is to have an embedding of non-separable Morrey space into a separable space.
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页码：1203 / 1224
页数：21
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