Function Spaces Interpolation Theory and Related Topics Proceedings of the International Conference in honour of Jaak Peetre on his 65th birthday Lund Sweden August 17 22 2000 1st Edition by Michael Cwikel, Miroslav Englis, Alois Kufner ISBN 3110198053 9783110198058

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Product details:

ISBN 10: 3110198053 
ISBN 13: 9783110198058
Author: Michael Cwikel, Miroslav Englis, Alois Kufner

This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields.

Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets.

The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

Function Spaces Interpolation Theory and Related Topics Proceedings of the International Conference in honour of Jaak Peetre on his 65th birthday Lund Sweden August 17 22 2000 1st Table of contents:

Part I: Advances in Interpolation Theory

• Chapter 1: Real Interpolation Spaces: New Developments and Applications
• Chapter 2: Complex Interpolation Methods for Function Spaces on Homogeneous Groups
• Chapter 3: Weighted Lorentz Spaces and Their Interpolation Properties
• Chapter 4: Commutators and Interpolation on Besov and Triebel-Lizorkin Spaces
• Chapter 5: Interpolation of Operator Ideals on Banach Lattices

Part II: Function Spaces and Their Properties

• Chapter 6: New Characterizations of Besov and Triebel-Lizorkin Spaces
• Chapter 7: Spaces of Homogeneous Type and Their Applications in Analysis
• Chapter 8: Regularity Properties of Solutions to PDEs in Function Spaces
• Chapter 9: Atomic Decompositions and Carleson Measures for Hardy Spaces
• Chapter 10: Generalized Orlicz-Lorentz Spaces and Their Embeddings

Part III: Operators and Harmonic Analysis

• Chapter 11: Pseudodifferential Operators on Generalized Function Spaces
• Chapter 12: Weighted Inequalities for Singular Integral Operators
• Chapter 13: Maximal Operators and Their Relation to Function Spaces
• Chapter 14: Fourier Analysis on Compact Lie Groups and Associated Function Spaces
• Chapter 15: Wavelet Bases and Their Applications in Numerical Analysis

Part IV: Related Topics and Applications

• Chapter 16: Approximation Theory in Function Spaces Defined by Local Means
• Chapter 17: Embeddings of Sobolev Spaces and Applications to Variational Problems
• Chapter 18: Stability Analysis of Differential Equations Using Function Space Methods
• Chapter 19: Discrete Analogues of Interpolation Spaces
• Chapter 20: Operator-Valued Measures and Their Use in Functional Analysis

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Tags: Michael Cwikel, Miroslav Englis, Alois Kufner, Function, Interpolation