Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations
Nguyen Tuan Duy
University of Finance-Marketing, Ho Chi Minh City, VietnamNguyen Lam
Memorial University of Newfoundland, Corner Brook, CanadaNguyen Anh Triet
Duy Tan University, Danang, Vietnam
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Abstract
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.
Cite this article
Nguyen Tuan Duy, Nguyen Lam, Nguyen Anh Triet, Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations. J. Spectr. Theory 10 (2020), no. 4, pp. 1277–1302
DOI 10.4171/JST/327