Harmonic analysis and partial differential equations: in honor of Calderon

Front Cover......Page 1
Title Page......Page 4
Copyright......Page 5
Contents\0......Page 7
Preface\0......Page 9
Introduction\0......Page 10
1. Calderon and Zygmund\'s Theory of Singular Integrals\0......Page 18
2. Transference Principles in Ergodic Theory\0......Page 44
3. A Weak-Type Inequality for Convolution Products\0......Page 58
4. Transference Couples and Weighted Maximal Estimates\0......Page 66
5. Periodic Solutions and Nonlinear Wave Equations\0......Page 86
6. Some Extremal Problems in Martingale Theory and Harmonic Analysis\0......Page 116
7. The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance\0......Page 134
8. On a Fourth-Order Partial Differential Equation in Conformal Geometry\0......Page 144
9. Riesz Transforms, Commutators, and Stochastic Integrals\0......Page 168
10. An Application of a Formula of Alberto Calderon to Speaker Identification\0......Page 180
11. Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability\0......Page 200
12. Symplectic Subunit Balls and Algebraic Functions\0......Page 216
13. Multiparameter Calderon-Zygmund Theory\0......Page 224
14. Nodal Sets of Sums of Eigenfunctions\0......Page 240
15. Large-Time Behavior and Self-Similar Solutions of Some Semilinear Diffusion Equations\0......Page 258
16. Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity\0......Page 280
17. Asymptotic Expansions for Atiyah-Patodi-Singer Problems\0......Page 292
18. Analysis on Metric Spaces\0......Page 302
19. Developments in Inverse Problems since Calderon\'s Foundational Paper\0......Page 312
Remarks Addressed to the Conference\0......Page 364
Contributors\0......Page 366
Index\0......Page 370