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arxiv: 1506.01901 · v2 · pith:4RBN452Snew · submitted 2015-06-05 · 🧮 math.AP

The infty-Besov Capacity Problem

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keywords besovinftyproblemtheoryactingapplicationscapacitiescapacity
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A theory of $\infty$-Besov capacities is developed and several applications are provided. In particular, we solve an open problem in the theory of limits of the $\infty$-Besov semi-norms, we obtain new restriction-extension inequalities and we characterize the point-wise multipliers acting on the $\infty$-Besov spaces.

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