F. Gesztesy, L. L. Littlejohn, I. Michael, M. M. H. Pang, “Radial and logarithmic refinements of Hardy's inequality”, Algebra i Analiz, 30:3 (2018), 55–65; St. Petersburg Math. J., 30:3 (2019), 429

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Algebra i Analiz, 2018, Volume 30, Issue 3, Pages 55–65 (Mi aa1594)

This article is cited in 17 scientific papers (total in 17 papers)

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

Full-text PDF (197 kB) Citations (17)

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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.

Received: 28.11.2017

English version:
St. Petersburg Mathematical Journal, 2019, Volume 30, Issue 3, Pages 429–436
DOI: https://doi.org/10.1090/spmj/1550

Bibliographic databases:

Document Type: Article

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

Language: English

Citation: F. Gesztesy, L. L. Littlejohn, I. Michael, M. M. H. Pang, “Radial and logarithmic refinements of Hardy's inequality”, Algebra i Analiz, 30:3 (2018), 55–65; St. Petersburg Math. J., 30:3 (2019), 429–436

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1594

https://www.mathnet.ru/eng/aa/v30/i3/p55

This publication is cited in the following 17 articles:

Yaozhong Qiu, “A Bakry–Émery criterion for weighted contractivity and L2-Hardy inequalities”, Commun. Contemp. Math., 27:04 (2025)
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill, “Logarithmic refinements of a power weighted Hardy–Rellich-type inequality”, Ann. Funct. Anal., 15:4 (2024)
K. Apseit, N. Yessirkegenov, “FACTORIZATIONS AND UNIFIED HARDY INEQUALITIES ON HOMOGENEOUS LIE GROUPS”, jour, 21:3 (2024), 147
Duy N.T., Lam N., Phi L.L., “Improved Hardy Inequalities and Weighted Hardy Type Inequalities With Spherical Derivatives”, Rev. Mat. Complut., 35:1 (2022), 1–23
Nguyen Tuan Duy, Lam N., Lu G., “P-Bessel Pairs, Hardy'S Identities and Inequalities and Hardy-Sobolev Inequalities With Monomial Weights”, J. Geom. Anal., 32:4 (2022), 109
Fritz Gesztesy, Lance L. Littlejohn, Isaac Michael, Michael M. H. Pang, “A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements”, Integr. Equ. Oper. Theory, 94:2 (2022)
Duy N.T., Lam N., Phi L.L., “Some Hardy Identities on Half-Spaces”, Math. Nachr., 294:12 (2021), 2317–2328
Duy N.T., Lam N., Phi L.L., “A Note on the Second Order Geometric Rellich Inequality on Half-Space”, Mon.heft. Math., 195:2 (2021), 233–248
Nguyen Tuan Duy, Le Long Phi, “Cylindrical Hardy type inequalities with Bessel pairs”, Oper. Matrices, 15:2 (2021), 485–495
Duy N.T., Phi L.L., “A Note on the Rellich Inequality on Half-Space”, Anal. Math., 47:3 (2021), 559–567
N. Lam, G. Lu, L. Zhang, “Geometric Hardy's inequalities with general distance functions”, J. Funct. Anal., 279:8 (2020), 108673
Nguyen Tuan Duy, Le Long Phi, Nguyen Thanh Son, “Hardy and caffarelli-kohn-nirenberg inequalities with nonradial weights”, Electron. J. Differ. Equ., 2020, 33
Nguyen Tuan Duy, Huy Bac Nguyen, “Cylindrical Hardy inequalities on half-spaces”, Electron. J. Differ. Equ., 2020, 75
Nguyen Tuan Duy, Nguyen Lam, Nguyen Anh Triet, “Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations”, J. Spectr. Theory, 10:4 (2020), 1277–1302
M. Ruzhansky, N. Yessirkegenov, “Factorizations and Hardy-Rellich inequalities on stratified groups”, J. Spectr. Theory, 10:4 (2020), 1361–1411
Nguyen Tuan Duy, Le Long Phi, Nguyen Thanh Son, “Hardy and Caffarelli-Kohn-Nirenberg inequalities with nonradial weights”, ejde, 2020:01-132 (2020), 33
Nguyen Tuan Duy, Huy Bac Nguyen, “Cylindrical Hardy inequalities on half-spaces”, ejde, 2020:01-132 (2020)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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