Two weight inequalities for positive operators: doubling cubes
Two weight inequalities for positive operators: doubling cubes
For the maximal operator M on \mathbb{R}^{d} , and 1 < p,\rho < \infty , there is a finite constant D=D _{p, \rho } so that this holds. For all weights w,\sigma on \mathbb{R}^{d} , the operator M(\sigma \cdot) is bounded from L^{p}(\sigma )\to L^{p}(w) if and only if the …