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Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces

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Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2142))

Abstract

The 1960s and 1970s saw the birth of a new scale of spaces in the Euclidean setting known as Besov spaces, \(B_{s}^{p,q}\big(\mathbb{R}^{d}\big)\), and Triebel-Lizorkin spaces, \(F_{s}^{p,q}\big(\mathbb{R}^{d}\big)\), where the parameters \(s \in \mathbb{R}\) and p, q ∈ (0, ] measure the “smoothness” and, respectively, the “size” of a given distribution in these spaces.

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Alvarado, R., Mitrea, M. (2015). Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces. In: Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces. Lecture Notes in Mathematics, vol 2142. Springer, Cham. https://doi.org/10.1007/978-3-319-18132-5_9

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