Email this article Discrete bilinear Hardy inequalities
- Authors: Jane P.1, Stepanov V.D.2,3, Shambilova G.E.4
-
Affiliations:
- South Asian University
- Computing Center of Far Eastern Branch of Russian Academy of Sciences
- Steklov Mathematical Institute of Russian Academy of Sciences
- Moscow Institute of Physics and Technology
- Issue: Vol 489, No 5 (2019)
- Pages: 445-448
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/18828
- DOI: https://doi.org/10.31857/S0869-56524895445-448
- ID: 18828
Cite item
Full Text
Abstract
The problem of characterization of bilinear inequality in discrete form is solved.
Keywords
About the authors
P. Jane
South Asian University
Author for correspondence.
Email: pankaj.jain@sau.ac.in
India, Akbar Bhawan, Satya Marg, Chanakyapuri, New Delhi, Delhi, 110021
V. D. Stepanov
Computing Center of Far Eastern Branch of Russian Academy of Sciences; Steklov Mathematical Institute of Russian Academy of Sciences
Email: stepanov@mi-ras.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, 65, Kim Yu Chen street, Khabarovosk, 680000; 8, Gubkina street, Moscow, 117966G. E. Shambilova
Moscow Institute of Physics and Technology
Email: shambilova@mail.ru
Russian Federation, 9, Institutskiy lane, Dolgoprudny, Moscow region, 141701
References
- Aguilar Cañestro M.I., Ortega Salvador P., Ramírez Torreblanca C. // J. Math. Anal. Appl. 2012. V. 387. № 1. P. 320-334. doi: 10.1016/j.jmaa.2011.08.078.
- Křepela M. // Proc. Edinb. Math. Soc. (2) 2017. V. 60. P. 955-971. doi: 10.1017/S0013091516000602.
- Křepela M. // Publ. Mat. 2017. V. 61. P. 3-50. doi: 10.5565/PUBLMAT61117 01.
- Прохоров Д.В. // Тр. МИАН. 2016. Т. 293. С. 280-295. https://doi.org/10.1134/S0371968516020199
- Степанов В.Д., Шамбилова Г.Э. // ДАН. 2017. Т. 477. № 6. С. 652-656. https://doi.org/10.7868/S0869565217360051
- Jain P., Kanjilal S., Stepanov V.D., Ushakova E.P. // Math. Notes. 2018. V. 104. № 6. P. 823-832. https://doi.org/10.4213/mzm12050
- Степанов В.Д., Шамбилова Г.Э. // Сибир. матем. журнал. 2018. Т. 59. № 3. С. 639-658. https://doi.org/10.17377/smzh.2018.59.313
- Степанов В.Д., Шамбилова Г.Э. // ДАН. 2019. Т. 486. № 4. С. 12-16. doi: 10.1134/S1064562419030165.
- Bennett G. // Quart. J. Math. Oxford Ser. (2). 1987. V. 38. P. 401-425.
- Bennett G. // Quart. J. Math. Oxford Ser. (2). 1988. V. 39. P. 385-400.
- Bennett G. // Quart. J. Math. Oxford Ser. (2). 1991. V. 42. P. 149-174.
- Braverman M.S., Stepanov V.D. // Bull. London Math. Soc. 1994. V. 26. P. 283-287.
- Прохоров Д.В., Степанов В.Д., Ушакова Е.П. Интегральные операторы Харди-Стеклова // Совр. пробл. матем. Вып. 22. М.: МИАН, 2016. https://doi.org/10.4213/spm55
- Харди Г.Г., Литтлвуд Дж.Е., Полиа Г. Неравенства. М.: ИЛ, 1948. 456 c.
- Kufner A., Maligranda L., Persson L.-E. The Hardy inequality. About its history and some related results. Pilsen: Vydavatelsky Servis, 2007. 161 p.
Supplementary files
