On the principle of duality in Lorentz spaces

A characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Holder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Hardy-Littlewood maximal operator and the Hilbert transform are bounded on weighted Lorentz spaces.

Authors
Gol'dman M.L. 1, 2 , Heinig H.P.3 , Stepanov V.D.4
Publisher
Canadian Mathematical Society
Number of issue
5
Language
English
Pages
959-979
Status
Published
Volume
48
Year
1996
Organizations
  • 1 Peoples’ Friendship University of Russia
  • 2 Moscow Inst. Radiotechnology
  • 3 McMaster University
  • 4 Computer Center of the Far-Eastern, Br. of the Russ. Academy of Sciences
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