F. Gesztesy, L. L. Littlejohn, I. Michael, M. M. H. Pang, “Radial and logarithmic refinements of Hardy's inequality”, Algebra i Analiz, 2018, Volume 30, Issue 3,Pages <nobr>55

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Research Papers

Radial and logarithmic refinements of Hardy's inequality

F. Gesztesy^a, L. L. Littlejohn^a, I. Michael^a, M. M. H. Pang^b

^a Department of Mathematics, Baylor University, One Bear Place #97328, Waco, TX 76798-7328, USA
^b Department of Mathematics, University of Missouri, Columbia, MO 65211, USA

Abstract: Versions of Hardy's inequality involving radial derivatives and logarithmic refinements are deduced.

Keywords: Hardy's inequality, factorizations of differential operators, radial and logarithmic refinements.

MSC: Primary 35A23, 35J30; Secondary 47A63, 47F05

Received: 28.11.2017

Language: English