Milman, M.; Xiao, J. The \(\infty\)-Besov capacity problem. (English) Zbl 1383.31005 Math. Nachr. 290, No. 17-18, 2961-2976 (2017). Summary: 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 pointwise multipliers acting on the \(\infty\)-Besov spaces. Cited in 8 Documents MSC: 31C15 Potentials and capacities on other spaces 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:\(\infty\)-Besov capacity; \(\infty\)-Besov spaces; pointwise multipliers PDFBibTeX XMLCite \textit{M. Milman} and \textit{J. Xiao}, Math. Nachr. 290, No. 17--18, 2961--2976 (2017; Zbl 1383.31005) Full Text: DOI arXiv