Special Session 73: 

On the integrability of fractional maximal functions for measures

Toru Kan
Osaka Prefecture University
Japan
Co-Author(s):    
Abstract:
It is well-known that fractional maximal operators are bounded between appropriate function spaces. In this talk, we introduce a class of measures which is intermediate between a Morrey space and a weak Lebesgue space, and show that fractional maximal operators are bounded between the class and a Morrey space.