On certain convolution inequalities
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- by Lars Inge Hedberg PDF
- Proc. Amer. Math. Soc. 36 (1972), 505-510 Request permission
Abstract:
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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 505-510
- MSC: Primary 46E30; Secondary 46E35
- DOI: https://doi.org/10.1090/S0002-9939-1972-0312232-4
- MathSciNet review: 0312232