On continuous embeddings of quantum Sobolev spaces into Schatten classes $\mathfrak{H}_γ^{s,p}(G,H) \hookrightarrow S_p(H)$
Alexander Plakhotnikov
Published: 2025/9/29
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 $p\neq 2$.