Cylindrical Hardy type inequalities with Bessel pairs. (English) Zbl 1482.26024
Summary: Using factorizations of suitable partial differential operators and the notion of Bessel pairs, we establish several cylindrical Hardy’s type identities and inequaltities in the sense of M. Badiale and G. Tarantello [Arch. Ration. Mech. Anal. 163, No. 4, 259–293 (2002; Zbl 1010.35041)].
MSC:
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 35A23 | Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
Citations:
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