An integral inequality with applications
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- by M. A. Leckband PDF
- Trans. Amer. Math. Soc. 283 (1984), 157-168 Request permission
Abstract:
Using a technical integral inequality, J. Moser proved a sharp result on exponential integrability of a certain space of Sobolev functions. In this paper, we show that the integral inequality holds in a general setting using nonincreasing functions and a certain class of convex functions. We then apply the integral inequality to extend the above result by J. Moser to other spaces of Sobolev functions. A second application is given generalizing some different results by M. Jodeit.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 283 (1984), 157-168
- MSC: Primary 26D20; Secondary 26A51
- DOI: https://doi.org/10.1090/S0002-9947-1984-0735413-7
- MathSciNet review: 735413