2017
Том 69
№ 6

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Refinement of a Hardy–Littlewood–Pólya-type inequality for powers of self-adjoint operators in a Hilbert space

Babenko V. F., Bilichenko R. O.

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Abstract

The well-known Taikov’s refined versions of the Hardy – Littlewood – Pólya inequality for the $L_2$-norms of intermediate derivatives of a function defined on the real axis are generalized to the case of powers of self-adjoint operators in a Hilbert space.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 10, pp 1533-1540.

Citation Example: Babenko V. F., Bilichenko R. O. Refinement of a Hardy–Littlewood–Pólya-type inequality for powers of self-adjoint operators in a Hilbert space // Ukr. Mat. Zh. - 2009. - 61, № 10. - pp. 1299-1305.

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