publication . Other literature type . Preprint . 2017

On orthogonal decomposition of a Sobolev space

Lakew, Dejenie A.;
Open Access English
  • Published: 01 Oct 2017
  • Publisher: Tusi Mathematical Research Group
Abstract
The theme of this short article is to investigate an orthogonal decomposition of a Sobolev space and look at some properties of the inner product therein and the distance defined from the inner product. We also determine the dimension of the orthogonal difference space and show the expansion of spaces as their regularity increases.
Subjects
free text keywords: Sobolev space, orthogonal decomposition, inner product, distance, 46E35, 46C15, Mathematics - Functional Analysis, 46E35, 46C15

1 , 1 x − 2 2 ≤ x ≤ 1 1

0, 0 ≤ x ≤ 2 Df φdx

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publication . Other literature type . Preprint . 2017

On orthogonal decomposition of a Sobolev space

Lakew, Dejenie A.;