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Birkhäuser

Harmonic Analysis, Partial Differential Equations and Applications

In Honor of Richard L. Wheeden

  • Book
  • © 2017

Overview

Editors:
  1. Sagun Chanillo

    1. Dept. of Math, Rutgers University, Piscataway, USA

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  2. Bruno Franchi

    1. Department of Mathematics, University of Bologna, Bologna, Italy

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  3. Guozhen Lu

    1. Dept. of Math., Univ. of Connecticut, Storrs CT, USA

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  4. Carlos Perez

    1. Department of Mathematics, University of Bilbao, Bilbao, Spain

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  5. Eric T. Sawyer

    1. Dept of Math and Stat, McMaster University, Hamilton, Canada

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  • This book will be a collection of articles and surveys written by a very distinguished group of Mathematicians on an important field with far reaching consequences in other areas of Mathematics
  • This volume will consist of articles that have connections to the work of Richard Wheeden who has made profound contributions to Fourier Analysis, and related applications to Partial Differential Equations
  • This work is centered around the research interests of Richard L. Wheeden

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxiv
    Download chapter PDF

  2. On Some Pointwise Inequalities Involving Nonlocal Operators

    • Luis A. Caffarelli, Yannick Sire
    Pages 1-18

  3. The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity

    • Sagun Chanillo, Jean Van Schaftingen, Po-Lam Yung
    Pages 19-25

  4. Weighted Inequalities of Poincaré Type on Chain Domains

    • Seng-Kee Chua
    Pages 27-48

  5. Smoluchowski Equation with Variable Coefficients in Perforated Domains: Homogenization and Applications to Mathematical Models in Medicine

    • Bruno Franchi, Silvia Lorenzani
    Pages 49-67

  6. Form-Invariance of Maxwell Equations in Integral Form

    • Cristian E. GutiĂ©rrez
    Pages 69-78

  7. Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics

    • Xiaojun Huang, Ming Xiao
    Pages 79-95

  8. The Focusing Energy-Critical Wave Equation

    • Carlos Kenig
    Pages 97-107

  9. Densities with the Mean Value Property for Sub-Laplacians: An Inverse Problem

    • Giovanni Cupini, Ermanno Lanconelli
    Pages 109-124

  10. A Good-λ Lemma, Two Weight T1 Theorems Without Weak Boundedness, and a Two Weight Accretive Global Tb Theorem

    • Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero
    Pages 125-164

  11. Intrinsic Difference Quotients

    • Raul Paolo Serapioni
    Pages 165-192

  12. Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions

    • Lucas Chaffee, Rodolfo H. Torres, Xinfeng Wu
    Pages 193-216

  13. Weighted Norm Inequalities of (1, q)-Type for Integral and Fractional Maximal Operators

    • Stephen Quinn, Igor E. Verbitsky
    Pages 217-238

  14. New Bellman Functions and Subordination by Orthogonal Martingales in L p, 1 < p ≤ 2

    • Prabhu Janakiraman, Alexander Volberg
    Pages 239-273

  15. Bounded Variation, Convexity, and Almost-Orthogonality

    • Michael Wilson
    Pages 275-301
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Keywords

About this book

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.

Editors and Affiliations

  • Dept. of Math, Rutgers University, Piscataway, USA

    Sagun Chanillo

  • Department of Mathematics, University of Bologna, Bologna, Italy

    Bruno Franchi

  • Dept. of Math., Univ. of Connecticut, Storrs CT, USA

    Guozhen Lu

  • Department of Mathematics, University of Bilbao, Bilbao, Spain

    Carlos Perez

  • Dept of Math and Stat, McMaster University, Hamilton, Canada

    Eric T. Sawyer

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