Weighted Inequalities for Convolutions
Kenneth F. Andersen · Proceedings of the American Mathematical Society · 1995
For certain convolution operators T on ${R^ + }$ or ${R^n}$, sufficient conditions are given which ensure that T is bounded between weighted Lebesgue spaces. The class of operators considered includes many of classical interest; in particular, new inequalities are obtained for the Laplace transform, the Poisson integral on ${R^n} \times {R^ + }$, and Goldberg’s transform.