Ompact embeddings of the spaces Apw,w (Rd)

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Turan Gürkanli A.

Taiwanese Journal of Mathematics, vol.12, no.7, pp.1757-1767, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.11650/twjm/1500405086
  • Journal Name: Taiwanese Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1757-1767
  • Keywords: Beurling algebra, Compact embedding, Weighted Lp
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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).