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, cilt.30, sa.4, ss.361-373, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.361-373
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.