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On continuous embeddings of quantum Sobolev spaces into Schatten classes $\mathfrak{H}_γ^{s,p}(G,H) \hookrightarrow S_p(H)$

Published 29 Sep 2025 in math.FA | (2509.24135v1)

Abstract: The purpose of this work is an attempt to expand the results obtained by A. K. Lakmon and Y. Mensah on embeddings of quantum Sobolev spaces $\mathfrak{H}_\gamma{s,p}(G,H)$ consisting of Hilbert-Schmidt operators, with $p\neq 2$.

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