Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Density properties for fractional Musielak-Sobolev spaces

EL-Houcine Ouali, Azeddine Baalal, Mohamed Berghout

Abstract

In this paper, we introduce a new fractional Musielak-Sobolev space $Ws,Φx,y(Ω)$ where $Ω$ is an open subset in RN and we show some density properties of smooth and compactly supported functions in this space.

Density properties for fractional Musielak-Sobolev spaces

Abstract

In this paper, we introduce a new fractional Musielak-Sobolev space where is an open subset in RN and we show some density properties of smooth and compactly supported functions in this space.
Paper Structure (3 sections, 14 theorems, 103 equations)

This paper contains 3 sections, 14 theorems, 103 equations.

Table of Contents

  1. Introduction
  2. Some preliminaries results
  3. Approximation by smooth and compactly supported functions

Key Result

Lemma 2.1

Assume that eq1.5 is satisfied. Then the following inequalities hold true

Theorems & Definitions (26)

  • Remark 1.1
  • Remark 1.2
  • Remark 1.3
  • Lemma 2.1
  • Proposition 2.2
  • Proposition 2.3
  • Lemma 2.4
  • Lemma 2.5
  • Lemma 2.6
  • proof
  • ...and 16 more