Hardy Inequalities on Homogeneous Groups 100 Years of Hardy Inequalities /

Hardy Inequalities on Homogeneous Groups 100 Years of Hardy Inequalities /

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This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many oth...

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Bibliographic Details
Main Authors: Ruzhansky, Michael (Author), Suragan, Durvudkhan (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
Edition:1st ed. 2019.
Series:Progress in Mathematics, 327
Subjects:
Topological groups.
Lie groups.
Potential theory (Mathematics).
Differential equations.
Harmonic analysis.
Functional analysis.
Geometry, Differential.
Topological Groups and Lie Groups.
Potential Theory.
Differential Equations.
Abstract Harmonic Analysis.
Functional Analysis.
Differential Geometry.
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Table of Contents:
  • Introduction
  • Analysis on Homogeneous Groups
  • Hardy Inequalities on Homogeneous Groups
  • Rellich, Caarelli-Kohn-Nirenberg, and Sobolev Type Inequalities
  • Fractional Hardy Inequalities
  • Integral Hardy Inequalities on Homogeneous Groups
  • Horizontal Inequalities on Stratied Groups
  • Hardy-Rellich Inequalities and Fundamental Solutions
  • Geometric Hardy Inequalities on Stratied Groups
  • Uncertainty Relations on Homogeneous Groups
  • Function Spaces on Homogeneous Groups
  • Elements of Potential Theory on Stratified Groups
  • Hardy and Rellich Inequalities for Sums of Squares
  • Bibliography
  • Index.

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