Optimal rearrangement invariant range for Hardy-type operators Articles uri icon

authors

  • SORIA, JAVIER
  • TRADACETE PEREZ, PEDRO

publication date

  • August 2016

start page

  • 865

end page

  • 893

issue

  • 4

volume

  • 146

International Standard Serial Number (ISSN)

  • 0308-2105

Electronic International Standard Serial Number (EISSN)

  • 1473-7124

abstract

  • We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between the optimal range and the optimal domain for these operators is carefully analysed.

keywords

  • rearrangement invariant spaces; restricted type; hardy operator; optimal range; optimal domain; classical lorentz spaces; sobolev imbeddings; inequality; identity; minus