Multipliers and relative completion in weighted Lorentz spaces

Duyar C., Gurkanli A.

ACTA MATHEMATICA SCIENTIA, vol.23, no.4, pp.467-476, 2003 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 4
  • Publication Date: 2003
  • Doi Number: 10.1016/s0252-9602(17)30490-3
  • Journal Name: ACTA MATHEMATICA SCIENTIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.467-476
  • Keywords: banach module, weighted L-p(G) space, Lorentz space, weighted Lorentz space, multiplier, L(P,Q) SPACES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.