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- W2031014729 abstract "As a limiting case of the Sobolev imbedding theorem, the Moser-Trudinger inequality was obtained for functions in with resulting exponential class integrability. Here we prove this inequality again and at the same time get sharper information for the bound. We also generalise the Linearised Moser inequality to higher dimensions, which was first introduced by Beckner for functions on the unit disc. Both of our results are obtained by using the method of Carleson and Chang. The last section introduces an analogue of each inequality for the Laplacian instead of the gradient under some restricted conditions." @default.
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- W2031014729 date "2000-12-01" @default.
- W2031014729 modified "2023-10-16" @default.
- W2031014729 title "Linearised Moser-Trudinger inequality" @default.
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- W2031014729 doi "https://doi.org/10.1017/s0004972700018967" @default.
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