Multidimensional bilinear Hardy inequalities
- Authors: Stepanov V.D.1, Shambilova G.E.2
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Affiliations:
- Computing Center, Far Eastern Branch of the Russian Academy of Sciences
- Peoples Friendship University of Russia
- Issue: Vol 487, No 5 (2019)
- Pages: 496-498
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15887
- DOI: https://doi.org/10.31857/S0869-56524875496-498
- ID: 15887
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Abstract
A characterization of n-dimensional bilinear Hardy inequalities in weighted Lebesgue spaces is given.
About the authors
V. D. Stepanov
Computing Center, Far Eastern Branch of the Russian Academy of Sciences
Author for correspondence.
Email: stepanov@mi-ras.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, 65, Kim Yu Chen street, Khabarovsk, 680000G. E. Shambilova
Peoples Friendship University of Russia
Email: shambilova@mail.ru
Russian Federation, 6, Miklukho-Maklaya street, Moscow, 117198
References
- Aguilar Cañestro M. I., Ortega Salvador P., Ramírez Torreblanca C. // J. Math. Anal. Appl. 2012. V. 387. № 1. P. 320-334.
- Křepela M. // Proc. Edinb. Math. Soc. (2) 2017. V. 60. P. 955-971.
- Cwikel M., Kerman R. // J. Funct. Anal. 1992. V. 106. № 1. P. 130-144.
- Grafakos L., Torres R. H. // J. Funct. Anal. 2001. V. 187. № 1. P. 1-24.
- Прохоров Д. В. // Труды МИАН. 2016. Т. 293. С. 280-295.
- Степанов В. Д., Шамбилова Г. Э. // ДАН. 2019. Т. 486. № 4.
- Джэйн П., Канджилал С., Степанов В. Д., Ушакова Е. П. // ДАН. 2018. Т. 483. № 6. С. 602-605.
- Jain P., Kanjilal S., Stepanov V. D., Ushakova E. P. // Math. Notes. 2018. V. 104. № 6. P. 823-832.
- Прохоров Д. В., Степанов В. Д., Ушакова Е. П. Интегральные операторы Харди-Стеклова // Совр. пробл. матем. МИАН. 2016. Т. 22.
- Křepela M. // Publ. Mat. 2017. V. 61. P. 3-50.
- Степанов В. Д., Шамбилова Г. Э. // ДАН. 2017. Т. 477. № 6. С. 652-656.
- Степанов В. Д., Шамбилова Г. Э. // Сиб. мат. журн. 2018. Т. 59. № 3. С. 639-658.
- Drabek P., Heinig H. P., Kufner A. // Birkhauser Verlag Basel. 1997. V. 123.
- Sinnamon G., Stepanov V. D. // J. London Math. Soc. 1996. V. 54. P. 89-101.