Density of smooth functions in anisotropic weighted Sobolev spaces with weights that are locally bounded and locally bounded away from zero

DOI10.1134/S0001434621050035zbMath1479.46040OpenAlexW3180091045MaRDI QIDQ2037718

A. Yu. Golovko

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621050035

zbMATH Keywords

weighted Sobolev spacesdensity of smooth functions

Mathematics Subject Classification ID

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

Related Items (1)

Conditions for embeddings of Sobolev spaces on a domain with anisotropic peak

Cites Work

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• On the denseness of the compactly supported functions in a weighted Sobolev space
• Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains
• On the construction of a sequence of compactly supported functions approximating functions from weighted classes
• On the density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set
• Conditions of validity of inequalities between \(L_ p\)-norms of partial derivatives of functions of several variables
• Les espaces du type de Beppo Levi
• Weighted Sobolev spaces and embedding theorems
• Weighted Sobolev spaces
• Integral estimates for differentiable functions on irregular domains

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