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Integral Norm Inequalities for Various Operators on Differential Forms

  • Shusen DingEmail author
  • Dylan Helliwell
  • Gavin Pandya
  • Arthur Yae
Chapter

Abstract

We obtain integral norm estimates for the homotopy operator, the potential operator, and their composition applied to differential forms. Initial results are established for all differential forms, while stronger results are shown to hold for solutions to the A-harmonic equation.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Shusen Ding
    • 1
    Email author
  • Dylan Helliwell
    • 1
  • Gavin Pandya
    • 1
  • Arthur Yae
    • 1
  1. 1.Department of MathematicsSeattle UniversitySeattleUSA

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