Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties
arxiv（2023）
摘要
In this note we prove the Banach space properties of the homogeneous Newton-Sobolev spaces $HN^{1,p}(X)$ of functions on an unbounded metric measure space $X$ equipped with a doubling measure supporting a $p$-Poincar\'e inequality, and show that when $1更多
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