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Estimation of the Uniform Norm of One-Dimensional Riesz Potential of the Partial Derivative of a Function with Bounded Laplacian

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Ukrainian Mathematical Journal Aims and scope

We obtain new exact Landau-type estimates of the uniform norms of one-dimension Riesz potentials of the partial derivatives of functions of many variables via the norm of these functions and the norm of their Laplacians.

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Authors and Affiliations

  1. Gonchar Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

    V. F. Babenko & N. V. Parfinovich

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  1. V. F. Babenko
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  2. N. V. Parfinovich
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 867–878, July, 2016.

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Babenko, V.F., Parfinovich, N.V. Estimation of the Uniform Norm of One-Dimensional Riesz Potential of the Partial Derivative of a Function with Bounded Laplacian. Ukr Math J 68, 987–999 (2016). https://doi.org/10.1007/s11253-016-1272-8

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  • DOI: https://doi.org/10.1007/s11253-016-1272-8

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