Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Journal of Applied Analysis

1 2017

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A note on properties of the restriction operator on Sobolev spaces

Hewett D. P., Moiola A.

Journal of Applied Analysis

2017

Vol. 23, nr 1

1--8

In our companion paper [3] we studied a number of different Sobolev spaces on a general (non-Lipschitz) open subset Ω of Rn, defined as closed subspaces of the classical Bessel potential spaces Hs(Rn) for s ϵ R. These spaces are mapped by the restriction operator to certain spaces of distributions on Ω. In this note we make some observations about the relation between these spaces of global and local distributions. In particular, we study conditions under which the restriction operator is or is not injective, surjective and isometric between given pairs of spaces.We also provide an explicit formula for minimal norm extension (an inverse of the restriction operator in appropriate spaces) in a special case.