
doi: 10.1007/bf00281216
Starting from the limiting case of the Sobolev imbedding theorem of Trudinger, Moser has proved two different one-dimensional inequalities of more general nature. One of them has its applications in partial differential equations, the other in differential geometry. The object of the paper under review is to prove these inequalities in a shorter unified way.
limiting case of the Sobolev imbedding theorem of Trudinger, Moser's inequality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, one-dimensional inequalities
limiting case of the Sobolev imbedding theorem of Trudinger, Moser's inequality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, one-dimensional inequalities
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