Hajłasz, Piotr; Kałamajska, Agnieszka Polynomial asymptotics and approximation of Sobolev functions. (English) Zbl 0823.46036 Stud. Math. 113, No. 1, 55-64 (1995). Summary: We prove several results concerning density of \(C^ \infty_ 0\), behaviour at infinity and integral representations for elements of the space \(L^{m, p}= \{f| \nabla^ m f\in L^ p\}\). Cited in 7 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 41A10 Approximation by polynomials 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 41A63 Multidimensional problems Keywords:integral representations for elements of the space \(L^{m,p}\) PDFBibTeX XMLCite \textit{P. Hajłasz} and \textit{A. Kałamajska}, Stud. Math. 113, No. 1, 55--64 (1995; Zbl 0823.46036) Full Text: EuDML