Weighted inequalities for the dyadic maximal operator involving an infinite product
Volume 145 / 2016
Colloquium Mathematicum 145 (2016), 231-244
MSC: Primary 42B25; Secondary 42B35.
DOI: 10.4064/cm6701-1-2016
Published online: 4 July 2016
Abstract
We define a generalized dyadic maximal operator involving an infinite product. We get adapted $A_p$ and $S_p$ weighted inequalities for this operator. A version of the Carleson embedding theorem is also proved. Our results heavily depend on a generalized Hölder inequality.
