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

DOI10.1007/S11253-016-1272-8zbMath1499.42045OpenAlexW2557449476MaRDI QIDQ1729508

Nataliia Viktorivna Parfinovych, Vladislav F. Babenko

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1272-8

zbMATH Keywords

uniform normsexact Landau-type estimatesone-dimension Riesz potentials

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Summability in several variables (42B08) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (1)

On approximation of hypersingular integral operators by bounded ones

Cites Work

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• Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions
• The best approximation to the operator of the second mixed derivative
• Approximation of unbounded operators by bounded operators and related extremal problems

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