Titlebook: Geometric Harmonic Analysis II; Function Spaces Meas Dorina Mitrea,Irina Mitrea,Marius Mitrea Book 2022 The Editor(s) (if applicable) and T

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Diagnosis of Allergic Reactions to Drugs, the structural richness of the Euclidean space. This is in line with efforts made in the direction of extending the standard theory of Besov and Triebel-Lizorkin spaces to the geometric measure theoretic context of spaces of homogeneous type; see, e.g., [90], [86], [91], [92], [203], [89], [152], and [206].

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Banach Function Spaces, Extrapolation, and Orlicz Spaces,imal operator happens to be bounded. Finally, in §. we focus on Orlicz spaces which, in particular, are natural examples of classical Banach function spaces for which the machinery developed so far applies.

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Luís Pereira Justo,Helena Maria Calilplicable to more general topological vector spaces (which are not necessarily locally convex). In §. we recall some basic results to this effect, obtained via a “dual-less” approach to Fredholm theory. Ultimately, this shows that the core principle of the theory, namely that . is pervasive.

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Prachi Suman,Anupama Paul,Awanish Mishraspaces (of order one) in the Euclidean setting, based on ordinary weak derivatives. Such a compatibility reinforces the idea that this is indeed a natural generalization of the standard scale of Sobolev spaces from the (entire) Euclidean ambient to sets exhibiting a much more intricate geometry (bot

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