A generalization of the Hardy inequality for vector functions is obtained.
This is a preview of subscription content, log in to check access.
Buy single article
Instant unlimited access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
O. Costin and V. Maz’ya, “Sharp Hardy–Leray inequality for axisymmetric divergencefree fields,” Calc. Var. PDEs, 32, No. 4, 523–532 (2008).
V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus, Pergamon Press (1965).
A. V. Dmitruk, “Nonnegativity Criterion for a Degenerate Quadratic Form with Two-Dimensional Control,” Journal Math. Sci., 121, No. 2, 2137–2155 (2004).
N. Hamamoto and F. Takahashi, “Sharp Hardy–Leray and Rellich–Leray inequalities for curl-free vector fields,” arXiv:1808.09614 (2018).
E. Ch. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford University Press (1937).
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 477, 2018, pp. 112–118.
About this article
Cite this article
Nazarov, A.I., Ustinov, N.S. A Generalization of the Hardy Inequality. J Math Sci (2020) doi:10.1007/s10958-020-04669-5