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A simple proof of Hardy’s inequality in a limiting case. (English) Zbl 1308.35010

Summary: We provide a simple proof of Hardy’s inequality in a limiting case. In the proof we do not need any symmetrization technique such as the Polya-Szegő inequality for the spherical decreasing rearrangement.

MSC:

35A23 Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
26D15 Inequalities for sums, series and integrals
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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