%0 Journal Article %T Irregularity of distributions and multiparameter $A_p$ weights %A Winston Ou %J Uniform Distribution Theory %D 2010 %I Mathematical Institute of the Slovak Academy of Sciences %X Weighted multiparameter Littlewood-Paley theory is used to extend Roth's irregularity of distribution theorem to the case where Lebesgue measure on the unit cube is replaced by a product $A_p$ weight. %K Discrepancy function %K Littlewood-Paley theory %K product $A_p$ weights. %U http://www.boku.ac.at/MATH/udt/vol05/no2/7Ou10-2.pdf