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

ISBN-13: 9783319527413 / Angielski / Twarda / 2017 / 301 str.

Sagun Chanillo; Bruno Franchi; Guozhen Lu

Opis

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.

Spis treści

Preface

1. Luis Caffarelli ( Univ. of Texas)
caffarel@math.utexas.edu


2. Sagun Chanillo (Rutgers Univ.)
chanillo@math.rutgers.edu

3. Seng-Kee Chua ( National Univ. of Singapore)
matcsk@nus.edu.sg


4. Bruno Franchi ( Univ. of Bologna)
bruno.franchi@unibo.it


5. Cristian Gutierrez ( Temple Univ. Philadelphia, USA)
cristian.gutierrez@temple.edu

6. Xiaojun Huang ( Rutgers Univ.)
huangx@math.rutgers.edu

7. Carlos Kenig ( Univ. of Chicago)
cek@math.uchicago.edu

8. Ermanno Lanconelli ( Univ. of Bologna)
ermanno.lanconelli@unibo.it


9. Eric Sawyer ( Mcmaster Univ.)
sawyer@mcmaster.ca

10. Raul Serapioni ( Univ. of Trento, Italy)
serapion@science.unitn.it

11. Rodolfo Torres ( Univ. of Kansas, Lawrence, KS)
torres@math.ku.edu

12. Igor Verbitsky ( Univ. of Missouri, Columbia)
verbitskyi@missouri.edu

13. Alexander Volberg ( Michigan State Univ.)
volberg@math.msu.edu

14. Michael Wilson ( Univ. of Vermont)
jmwilson@uvm.edu

Blurb

This is a collection of contributed papers by many eminent Harmonic Analysts and specialists of Partial Differential equations. The papers focus on weighted norm equalities for singular integrals, focusing wave equations, degenerate elliptic equations, Navier-Stokes flow in two dimensions and Poincare-Sobolev inequalities in the setting of metric spaces equipped with measures among others. Many topics considered in this volume stem from the interests of Richard L. Wheeden whose contributions to Potential Theory, singular integral theory and degenerate elliptic PDE theory this volume honors. Luis Caffarelli, Sagun Chanillo, Bruno Franchi, Cristian Guttierez, Xiaojun Huang, Carlos Kenig, Ermanno Lanconelli, Eric Sawyer and Alexander Volberg, are some of the many contributors to this volume.