Description of the closure of the set of infinitely differentiable compactly supported functions in a weighted Sobolev space

DOI10.1007/S10958-023-06672-YMaRDI QIDQ6123069

Aigerim A. Kalybay, Ryskul Oinarov

Publication date: 4 March 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

weight functionweighted Sobolev spaceclosureset of compactly supported functionssingularity of weight function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• On the denseness of the compactly supported functions in a weighted Sobolev space
• On the density of compactly supported functions in a space with multiweighted derivatives
• On the construction of a sequence of compactly supported functions approximating functions from weighted classes
• On norms in weighted spaces of functions given on infinite intervals
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