The $\infty$-Besov Capacity Problem

Published 5 Jun 2015 in math.AP | (1506.01901v2)

Abstract: 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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