SOME ASPECTS OF L-v(q) (R-d) boolean AND W-k(p,w) (R-d)

Gungor N., Sağır Duyar B.

MISKOLC MATHEMATICAL NOTES, cilt.16, sa.1, ss.165-180, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.18514/mmn.2015.766
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.165-180
  • Anahtar Kelimeler: weighted Sobolev space, Banach module, Banach algebra, approximate identity, continuous embedding, multiplier
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let 1 <= q; p < infinity and v,w be Beurling's weight functions on R-d. In this article we deal with harmonic properties of intersection space A(k,v,w)(q,p) (R-d) = L-v(q) (R-d) boolean AND W-k(p,w) (R-d) defined by aid of weighted Lebesgue space L-v(q) (R-d) and weighted Sobolev space W-k(p,w) (R-d). We research the inclusions and inequalities between the spaces A(k,v,w)(q,p) (Omega) where Omega subset of R-d be an open set. Finally, we proved that the spaces M (A(k,w)(1,p) (R-d), L-w(1) (R-d)) can be identified with the weighted spaces of bounded measures M-w (R-d).