A note on weighted Sobolev algebras L-omega(1)(R-d) boolean AND W-k(p)(R-d)

Gungor N., Sağır Duyar B.

JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, vol.30, no.4, pp.361-373, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2015
  • Journal Name: JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.361-373
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let 1 <= p < infinity and omega be Beurling's weight function on R-d. In this article, we demonstrate some harmonic properties of Sobolev space W-k(p)(R-d) which consists of all functions on R-d whose weak derivatives up to and including order k belong to L-p( R-d). Also, we deal with some harmonic properties of intersection space A(k,omega)(p)(R-d) = L-omega(1)(R-d) boolean AND W-k(p)(R-d) by aid of Beurling algebra L-omega(1)(R-d) and Sobolev space W-k(p)(R-d). Finally, we research the inclusions and continuous embeddings between the spaces A(k,omega)(p)(Omega) where Omega subset of R-d be open set.