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Algebra i Analiz, 2020, Volume 32, Issue 3, Pages 180–190 (Mi aa1704)  
Research Papers

On a class of sharp multiplicative Hardy inequalities

D. Guzua, T. Hoffmann-Ostenhofb, A. Laptevca

a Imperial College London, 180 Queen's Gate, London SW7 2AZ, UK
b University of Vienna
c St. Petersburg University, 14-ya Liniya V.O., 29B, 199178 St. Petersburg, Russia
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Abstract: A class of weighted Hardy inequalities is treated. The sharp constants depend on the lowest eigenvalues of auxiliary Schrödinger operators on a sphere. In particular, for some block radial weights such sharp constants are given in terms of the lowest eigenvalue of a Legendre type equation.
Keywords: Schrödinger operators, Hardy inequalities.
Funding agency Grant number
Russian Science Foundation 19-71-30002
A. L. was partially supported by the RSF grant 19-71-30002.
Received: 07.08.2019
English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 3, Pages 523–530
DOI: https://doi.org/10.1090/spmj/1659
Document Type: Article
Language: English
Citation: D. Guzu, T. Hoffmann-Ostenhof, A. Laptev, “On a class of sharp multiplicative Hardy inequalities”, Algebra i Analiz, 32:3 (2020), 180–190; St. Petersburg Math. J., 32:3 (2021), 523–530
Citation in format AMSBIB
\Bibitem{GuzHofLap20}
\by D.~Guzu, T.~Hoffmann-Ostenhof, A.~Laptev
\paper On a class of sharp multiplicative Hardy inequalities
\jour Algebra i Analiz
\yr 2020
\vol 32
\issue 3
\pages 180--190
\mathnet{http://mi.mathnet.ru/aa1704}
\transl
\jour St. Petersburg Math. J.
\yr 2021
\vol 32
\issue 3
\pages 523--530
\crossref{https://doi.org/10.1090/spmj/1659}
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