Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations. (English) Zbl 07377502
Summary: Using the factorizations of suitable operators, we establish several identities that give simple and direct understandings as well as provide the remainders and “virtual” optimizers of several the Hardy and Hardy-Rellich type inequalities.
MSC:
| 35A23 | Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals |
| 35J30 | Higher-order elliptic equations |
| 47A63 | Linear operator inequalities |
| 47F05 | General theory of partial differential operators |
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