Function Spaces and Partial Differential Equations: Volume 2 - Contemporary Analysis

Function Spaces and Partial Differential Equations: Volume 2 - Contemporary Analysis

by Ali Taheri

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Product Details

ISBN-13: 9780198733157
Publisher: Oxford University Press
Publication date: 10/01/2015
Pages: 480
Product dimensions: 6.00(w) x 9.20(h) x 1.10(d)

About the Author

Ali Taheri, Reader in Mathematics, University of Sussex

Dr Taheri is a reader in Mathematics as the University of Essex. His primary research area is in the field of Analysis & PDEs where he has been working for over 15 years. During which time he has published research papers in prestigious journals, made valuable contributions to the field and has taught and conducted research in some of the leading institutions in the world including Oxford, Courant Institute, Max-Planck-Institute Leipzig and Warwick. He heads up the Analysis and PDEs research group in Sussex with 11 faculty and 25 members. In June 2014 he was awarded the First University of Sussex Teaching Prize for "Outstanding and Innovative Postgraduate Teaching in Mathematics".

Table of Contents

13. Maximal Function; Bounding Averages and Pointwise Convergence
14. Harmonic-Hardy Spaces hp(H)
15. Sobolev Spaces; A Resolution of the Dirichlet Principle
16. Singular Integral Operators and Vector-Valued Inequalities
17. Littlewood-Paley Theory, Lp-Multipliers and Function Spaces
18. Morrey and Campanato vs. Hardy and John-Nirenberg Spaces
19. Layered Potentials, Jump Relations and Existence Theorems
20. Second Order Equations in Divergence Form: Continuous Coefficients
21. Second Order Equations in Divergence Form: Measurable Coefficients
A. Partition of Unity
B. Total Boundedness and Compact Subsets of Lp
C. Gamma and Beta Functions
D. Volume of the Unit n-Ball
E. Integrals Related to Abel and Gauss Kernels
F. Hausdorff Measures Hs
G. Evaluation of Some Integrals Over
H. Sobolev Spaces

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