Harmonic Analysis, Partial Differential Equations and Applications: In Honor of Richard L. Wheeden

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Sagun Chanillo, Bruno Franchi, Guozhen Lu, Carlos Perez, Eric T. Sawyer
Birkhäuser, Feb 20, 2017 - Mathematics - 301 pages

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L. Wheeden made profound contributions. The papers deal with Weighted Norm inequalities for classical operators like Singular integrals, fractional integrals and maximal functions that arise in Harmonic Analysis. Other papers deal with applications of Harmonic Analysis to Degenerate Elliptic equations, variational problems, Several Complex variables, Potential theory, free boundaries and boundary behavior of functions.

 

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Contents

On Some Pointwise Inequalities Involving Nonlocal Operators
1
The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity
19
Weighted Inequalities of Poincaré Type on Chain Domains
27
Homogenization and Applications to Mathematical Models in Medicine
49
FormInvariance of Maxwell Equations in Integral Form
69
ChernMoserWeyl Tensor and Embeddings into Hyperquadrics
79
The Focusing EnergyCritical Wave Equation
97
An Inverse Problem
109
A Goodλ Lemma Two Weight T1 Theorems Without Weak Boundedness and a Two Weight Accretive Global Tb Theorem
125
Intrinsic Difference Quotients
165
Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions
193
Weighted Norm Inequalities of 1qType for Integral and Fractional Maximal Operators
217
New Bellman Functions and Subordination by Orthogonal Martingales in Lp 1p2
239
Bounded Variation Convexity and AlmostOrthogonality
275
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