Some Generalization of Riesz Type Inequalities for Harmonic Mappings on the Unit Disk

Authors

  • Elver Bajrami Albanian

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5282

Keywords:

Harmonic functions, Riesz inequality, Isoperimetric inequality, 30H10, 30H05, 47B35

Abstract

In this paper a new generalized norm is defined and Riesz type inequalities for harmonic functions on the unit disk are discussed by applying it. Also sharp constants are obtained for certain special values considered in the reverse case of the standard Riesz inequality.

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Published

2024-07-31

Issue

Section

Nonlinear Analysis

How to Cite

Some Generalization of Riesz Type Inequalities for Harmonic Mappings on the Unit Disk. (2024). European Journal of Pure and Applied Mathematics, 17(3), 1685-1690. https://doi.org/10.29020/nybg.ejpam.v17i3.5282