BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$

Published 4 Sep 2025 in math.FA and math.AP | (2509.04176v1)

Abstract: In this article, we prove interpolation results for $BMO$ in Lorentz spaces. From these results, we derive interpolation theorems in Besov spaces, the space $BV$, and fractional Sobolev spaces. As an application, we obtain geometric information about the jump set of functions in $BV \cap BMO$.

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