Journal of Inequalities and Applications
Volume 6 (2001), Issue 4, Pages 415-433
doi:10.1155/S102558340100025X
Abstract
We give an alternate proof of weighted dyadic Carleson’s inequalities which are essentially proved by Sawyer and Wheeden. We use the Bellman function approach of Nazarov and Treil. As an application we give an alternate proof of weighted inequalities for dyadic fractional maximal operators. A result on weighted inequalities for fractional integral operators is given.