Ompact embeddings of the spaces Apw,w (Rd)

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Turan Gürkanli A.

Taiwanese Journal of Mathematics, cilt.12, sa.7, ss.1757-1767, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 7
  • Basım Tarihi: 2008
  • Doi Numarası: 10.11650/twjm/1500405086
  • Dergi Adı: Taiwanese Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1757-1767
  • Anahtar Kelimeler: Beurling algebra, Compact embedding, Weighted Lp
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

For 1 ≤ p ≤ ∞, (Rd, denotes the space (Banach space) of all functions in Lw1 (Rd) a weighted L1-space (Beurling algebra) with Fourier transforms f in Lwp (Rd) which is equipped with the sum norm, where w and ω are Beurling weights on Rd.This space was defined in [5] and generalized in [6]. The present paper is a sequal to these works.In this(pap)r we are going to discuss compact embeddings between the spaces Aw,ω (Rd).