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Composition operator on Λ<sup>p</sup><sub><strike>x</strike></sub>(<i>w</i>) spaces


René Erlin Castillo
Cruz Suarez
Eduard Trousselot

Abstract

In this paper we give an overview of the Λpx(w) spaces and also characterize the boundedness and compactness of the composition operator on weighted Lorentz spaces.

Keywords: Composition operator, weighted Lorentz spaces, boundedness and compactness of the composition operator, distribution function, non-increasing rearrangement


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606