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Found 18 Documents (Results 1–18)

Estimation of the uniform norm of one-dimensional Riesz potential of the partial derivative of a function with bounded Laplacian. (English. Russian original) Zbl 1499.42045

Ukr. Math. J. 68, No. 7, 987-999 (2016); translation from Ukr. Mat. Zh. 68, No. 7, 867-878 (2016).
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Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems. (English. Russian original) Zbl 1314.41006

Math. Notes 95, No. 1, 3-14 (2014); translation from Mat. Zametki 95, No. 1, 3-17 (2014).
MSC:  41A17
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Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications. (English. Russian original) Zbl 1304.41008

Proc. Steklov Inst. Math. 277, Suppl. 1, S9-S20 (2012); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 3, 60-70 (2011).
MSC:  41A17 41A35 41A36
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Inequalities of the Kolmogorov type for norms of Riesz derivatives of multivariate functions and some of their applications. (English. Russian original) Zbl 1271.41004

J. Math. Sci., New York 187, No. 1, 9-21 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 157-174 (2012).
MSC:  41A17 26E99
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Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications. (English. Russian original) Zbl 1254.26009

Ukr. Math. J. 63, No. 9, 1321-1335 (2012); translation from Ukr. Mat. Zh. 63, No. 9, 1155-1168 (2011).
MSC:  26A33
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