Sharp Hardy’s inequalities in Hilbert spaces
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We study the behavior of the smallest possible constants and in Hardy’s inequalities
and
The exact constant and the precise rate of convergence of are established and the extremal function and the “almost extremal” sequence are found.
Dimitar K. Dimitrov, Ivan Gadjev, Mourad E. H. Ismail, Sharp Hardy’s inequalities in Hilbert spaces. J. Spectr. Theory 14 (2024), no. 3, pp. 1243–1256
DOI 10.4171/JST/520