An interpolation method in modular spaces is introduced and basic properties of obtained interpolation spaces are studied (completness, imbeddings etc.). The main result hero is a reiteration theorem. It is shown how the method works in Orlicz spaces and as an example of applications there is proved a multiplier theorem of the Michlin type. The method generalizes the -method of Peetre.
Cite this article
Miroslav Krbec, Modular Interpolation Spaces I. Z. Anal. Anwend. 1 (1982), no. 1, pp. 25–40DOI 10.4171/ZAA/3