Some aspects of Lqυ (Rd)∩Wp,wk (Rd)

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GÜNGÖR N., Sağir B.

Miskolc Mathematical Notes, cilt.16, sa.1, ss.165-180, 2015 (SCI-Expanded, Scopus) 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: Approximate identity, Banach algebra, Banach module, Continuous embedding, Multiplier, Weighted sobolev space
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Samsun Üniversitesi Adresli: Hayır

Özet

Let 1≤q, p < ∞ and υ,w be Beurling's weight functions on Rd. In this article we deal with harmonic properties of intersection space Aq,pk,υ,w (Rd) = Lqυ (Rd) ∩ Wp,wk (Rd) defined by aid of weighted Lebesgue space Lqυ (Rd) and weighted Sobolev space Wp,wk (Rd). We research the inclusions and inequalities between the spaces Aq,pk,υ,w (Ω) where Ω ⊂ Rd be an open set. Finally, we proved that the spaces M (A1,pk,w (Rd), L1w (Rd)) can be identified with the weighted spaces of bounded measures Mw (Rd).