Multipliers and relative completion in weighted Lorentz spaces

Duyar C., Gurkanli A.

ACTA MATHEMATICA SCIENTIA, cilt.23, sa.4, ss.467-476, 2003 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 4
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0252-9602(17)30490-3
  • Dergi Adı: ACTA MATHEMATICA SCIENTIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.467-476
  • Anahtar Kelimeler: banach module, weighted L-p(G) space, Lorentz space, weighted Lorentz space, multiplier, L(P,Q) SPACES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let G be a locally compact Abelian group with Haar measure mu. In the present paper, first the authors discussed some properties of weighted Lorentz space. Then they defined the relative completion (A) over tilde of a subspace A of the weighted Lorentz space, and showed that the space of the multipliers from L-W(1)(G) to A is algebrically isomorphic and homeomorphic to (A) over tilde.