Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces

Abstract

We characterize Orlicz and classical Lorentz spaces on which a linear operator is bounded provided that it is bounded between two specific Marcinkiewicz spaces.

Keywords

• Marcinkiewicz spaces
• interpolation theorems
• supremum operators
• Orlicz
• Lorentz
• gamma
• spaces, optimality
• rearrangement-invariant norms.