A density property for fractional weighted Sobolev spaces

Academic Article

Publication Date:

2015

Citation:

A density property for fractional weighted Sobolev spaces / S. Dipierro, E. Valdinoci. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 26:4(2015), pp. 397-422. [10.4171/RLM/712]

abstract:

In this paper we show a density property for fractional weighted Sobolev spaces. That is, we prove that any function in a fractional weighted Sobolev space can be approximated by a smooth function with compact support. The additional difficulty in this nonlocal setting is caused by the fact that the weights are not necessarily translation invariant.

IRIS type:

01 - Articolo su periodico

Keywords:

Density properties; Weighted fractional Sobolev spaces; Mathematics (all)

List of contributors: