The $\theta $-bump theorem for product fractional integrals
Volume 253 / 2020
Studia Mathematica 253 (2020), 109-127
MSC: Primary 42B35.
DOI: 10.4064/sm180815-16-3
Published online: 13 December 2019
Abstract
We extend the one-parameter $\theta $-bump theorem for fractional integrals of Sawyer and Wheeden to the setting of two parameters, as well as improving the multiparameter result of Tanaka and Yabuta for doubling weights to classical reverse doubling weights.