Applied and Numerical Harmonic Analysis / Distance and Measure in Analysis and Partial Differential Equations
(Sprache: Englisch)
This comprehensive exploration of a metric approach to some relevant problems and techniques in analysis focuses on examining spaces of homogeneous type. Both the structural and analytical problems under consideration reflect very active areas of current...
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Produktinformationen zu „Applied and Numerical Harmonic Analysis / Distance and Measure in Analysis and Partial Differential Equations “
This comprehensive exploration of a metric approach to some relevant problems and techniques in analysis focuses on examining spaces of homogeneous type. Both the structural and analytical problems under consideration reflect very active areas of current research. The exposition, motivated by examples and details of which many cannot be found elsewhere in book form, unfolds systematically in three parts, starting from such preliminaries as the basic structures of quasi-metric spaces, the homogeneity property and measure theory.
Inhaltsverzeichnis zu „Applied and Numerical Harmonic Analysis / Distance and Measure in Analysis and Partial Differential Equations “
Part I: POINT SPACES - Quasi-Metric Spaces
- The Weak Homogeneity Property on Quasi-Metric Spaces
- Spaces of Homogeneous Type
- Examples
Part II: FUNCTION SPACES
- The Hardy--Littlewood Maximal Function and the Differentiation Theorem
- Lipschitz Functions
- The Space L^2
- Hardy and John--Birenberg Spaces
- BMO (f) Spaces
- Harnack Inequalities and Hölder--Lipschitz Regularity of Functions
- Besov--Taibleson and Triebel--Lizorkin Spaces
Part III: OPERATORS
- Weighted Norm Inequalities or the Hardy--Littlewood Maximal Operator
- Electrostatic Potentials and Singular Integrals of Calderón--Zygmund Type
- Singular Integrals
- Unconditional Haar Bases for L^p (1
Bibliographische Angaben
- Autor: Hugo Aimar
- 20 Schwarz-Weiss-Abbildungen, Gebunden, Englisch
- Verlag: Birkhäuser Basel
- ISBN-10: 081764315X
- ISBN-13: 9780817643157
Sprache:
Englisch
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