Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces
Volume 410 / 2002
Dissertationes Mathematicae 410 (2002), 1-50
MSC: 26D10, 42B25, 46E30, 47B38, 47G10, 46B70
DOI: 10.4064/dm410-0-1
Abstract
We derive conditions, which are both necessary and sufficient, for the boundedness of (power-logarithmic) fractional maximal operators between classical and weak-type Lorentz spaces.