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- W1511751146 abstract "In this paper, the author introduces the Morrey-Campanato spaces L s p (X) and the spaces C p s (X) on spaces of homogeneous type including metric spaces and some fractals, and establishes some embedding theorems between these spaces under some restrictions and the Besov spaces and the Triebel-Lizorkin spaces. In particular, the author proves that L s p (X) = B s ∞,∞ (X) if 0 < s < ∞ and µ (X) < ∞. The author also introduces some new function spaces A s p (X) and B s p (X) and proves that these new spaces when 0 < s < 1 and 1 < p < ∞ are just the Triebel-Lizorkin space F s p,∞ (X) if X is a metric space, and the spaces A 1 p (X) and B 1 p (X) when 1 < p < ∞ are just the Hajłasz-Sobolev spaces W 1 p (X). Finally, as an application, the author gives a new characterization of the Hajłasz-Sobolev spaces by making use of the sharp maximal function." @default.
- W1511751146 created "2016-06-24" @default.
- W1511751146 creator A5068607724 @default.
- W1511751146 date "2005-01-01" @default.
- W1511751146 modified "2023-10-13" @default.
- W1511751146 title "Some Function Spaces Relative to Morrey-Campanato Spaces on Metric Spaces" @default.
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- W1511751146 doi "https://doi.org/10.1017/s002776300000903x" @default.
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