Polynomial asymptotics and approximation of Sobolev functions

• Autorzy: Piotr Hajłasz , Agnieszka Kałamajska
• Języki publikacji: EN

Abstrakty

EN

We prove several results concerning density of $C_{0}^{∞}$, behaviour at infinity and integral representations for elements of the space $L^{m,p} = {⨍ | ∇^{m}⨍ ∈ L^p}$.

Słowa kluczowe

EN

Sobolev space; Beppo Levi space; approximation; polynomial asymptotics; density of $C_0^∞$ functions

Kategorie tematyczne

• 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
• 41A10: Approximation by polynomials
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 41A99: None of the above, but in this section
• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 113
• Numer: 1
• Strony: 55-64

Daty

wydano

1995

otrzymano

1993-09-10

poprawiono

1994-08-16

Twórcy

autor

Piotr Hajłasz

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland,

autor

Agnieszka Kałamajska

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland,

Bibliografia

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