Chanillo S., Franchi B., Lu G., Perez C., Sawyer E.T. (Eds.) Harmonic Analysis, Partial Differential Equations and Applications: In Honor of Richard L. Wheeden

Springer International Publishing AG, 2017. — 319 p. — (Applied and Numerical Harmonic Analysis) — ISBN: 9783319527413This 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.
It is a pleasure to bring out this volume of contributed papers on the occasion of the retirement of Richard Wheeden. Dick Wheeden as he is known to his many friends and collaborators spent almost all his professional life at Rutgers University since 1967, other than sabbatical periods at the Institute for Advanced Study, Princeton, Purdue University, and the University of Buenos Aires, Argentina. He has made many original contributions to Potential Theory, Harmonic Analysis, and Partial Differential equations. Many of his papers have profoundly influenced these fields and have had long lasting effects, stimulating research and shedding light. In addition many colleagues and especially young people have benefitted from the generosity of his spirit, where he has shared mathematical insight and provided encouragement. We hope this volume showcases some of the research directions Dick Wheeden was instrumental in pioneering.On Some Pointwise Inequalities Involving Nonlocal Operators
The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity
Weighted Inequalities of Poincaré Type on Chain Domains
Smoluchowski Equation with Variable Coefficients in Perforated Domains: Homogenization and Applications to Mathematical Models in Medicine
Form-Invariance of Maxwell Equations in Integral Form
Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics
The Focusing Energy-Critical Wave Equation
Densities with the Mean Value Property for Sub-Laplacians: An Inverse Problem
Intrinsic Difference Quotients
Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions
Weighted Norm Inequalities
New Bellman Functions and Subordination by Orthogonal Martingales
Bounded Variation, Convexity, and Almost-Orthogonality