DESCRIPTION OF THE CLOSURE OF THE SET OF INFINITELY DIFFERENTIABLE COMPACTLY SUPPORTED FUNCTIONS IN A WEIGHTED SOBOLEV SPACE
Oinarov R. Kalybay A.
March 2024Springer
Journal of Mathematical Sciences (United States)
2024#280Issue 161 - 72 pp.
The paper describes the closure of infinitely differentiable compactly supported functions in certain second-order weighted Sobolev space depending on the degree of singularity of weight functions at zero and at infinity.
46E35 , Closure , Set of compactly supported functions , Singularity of weight function , Weight function , Weighted Sobolev space
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L.N. Gumilyov Eurasian National University, 2 Satpaev Str., Astana, 101008, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin Str., Almaty, 050010, Kazakhstan
KIMEP University, 4 Abay Ave., Almaty, 050010, Kazakhstan
L.N. Gumilyov Eurasian National University
Institute of Mathematics and Mathematical Modeling
KIMEP University
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