WEIGHTED COMPOSITION OPERATORS ON WEIGHTED LORENTZ SPACES


Eryılmaz İ.

COLLOQUIUM MATHEMATICUM, vol.128, no.2, pp.143-151, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 128 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.4064/cm128-2-1
  • Journal Name: COLLOQUIUM MATHEMATICUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.143-151
  • Keywords: weighted composition operators, weighted Lorentz spaces, multiplication operator
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p, q, wd mu) for 1 < p <= infinity, 1 <= q <= infinity are characterized.