Weighted norm inequalities for the Hardy maximal function

The principal problem considered is the determination of all nonnegative functions, U(x), for which there is a constant, C, such thatwhere lU(x) dx S cj |/(x)|/(x) dx was the well-known one of Hardy and Littlewood [3] showing that (1.1) is true if t/(x)=l and 1 <p<co.Stein in [10] showed that (1.1) ... View More