Some integral and maximal operators related to starlike sets
Volume 107 / 1993
Studia Mathematica 107 (1993), 223-255
DOI: 10.4064/sm-107-3-223-255
Abstract
We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.
