On the density of compactly supported functions in a space with multiweighted derivatives

DOI10.1134/S0081543821010107zbMath1475.46037OpenAlexW3157071873MaRDI QIDQ828596

Ryskul Oinarov, Zh. A. Keulimzhayeva, Aigerim A. Kalybay

Publication date: 5 May 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821010107

zbMATH Keywords

weight functiondensityclosure of set of compactly supported functionsmultiweighted derivativespace with multiweighted derivatives

Mathematics Subject Classification ID

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

Related Items (3)

Description of the closure of the set of infinitely differentiable compactly supported functions in a weighted Sobolev space ⋮ Unnamed Item ⋮ Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions

Cites Work

• On the denseness of the compactly supported functions in a weighted Sobolev space
• Coercive properties of elliptic equations with degeneracies. Variational methods
• On the construction of a sequence of compactly supported functions approximating functions from weighted classes
• Coercive properties of an elliptic equation with degeneracy and a generalized right-hand side
• On norms in weighted spaces of functions given on infinite intervals
• A generalized multiparameter weighted Nikol'skii-Lizorkin inequality
• ON A KUDRYAVTSEV TYPE FUNCTION SPACE
• On equivalent norms in weighted spaces
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