JournalsjstVol. 10, No. 4pp. 1277–1302

Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations

  • Nguyen Tuan Duy

    University of Finance-Marketing, Ho Chi Minh City, Vietnam

  • Nguyen Lam

    Memorial University of Newfoundland, Corner Brook, Canada

  • Nguyen Anh Triet

    Duy Tan University, Danang, Vietnam
Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations cover

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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