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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ukrainian mathematical journal 2016-12, Vol.68 (7), p.987-999
Hauptverfasser: Babenko, V. F., Parfinovich, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Norms
Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1272-8