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Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian

We obtain new exact Landau-type estimates for the uniform norms of one-dimension Riesz potentials of the partial derivatives of a multivariable function in terms of the norm of the function itself and the norm of its Laplacian.

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Bibliographische Detailangaben
Datum:	2016
Hauptverfasser:	Babenko, V. F., Parfinovych, N. V., Бабенко, В. Ф., Парфинович, Н. В.
Format:	Artikel
Sprache:	Russisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1887
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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