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On certain convolution inequalities
1972
Proceedings of the American Mathematical Society
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It is proved that certain convolution inequalities are easy consequences of the Hardy-Littlewood-Wiener maximal theorem. These inequalities include the Hardy-Littlewood-Sobolev inequality for fractional integrals, its extension by Trudinger, and an interpolation inequality by Adams and Meyers. We also improve a recent extension of Trudinger's inequality due to Strichartz.
doi:10.1090/s0002-9939-1972-0312232-4
fatcat:vdyqucpyvvgezf5k66q2xgndiq