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Orlicz Norm Inequalities for Conjugate Harmonic Forms

In: Nonlinear Analysis

Author

Listed:
  • Shusen Ding

    (Seattle University)

  • Yuming Xing

    (Harbin Institute of Technology)

Abstract

We establish some basic norm inequalities, including the Poincaré inequality, weak reverse Hölder inequality, and Caccioppoli inequality, for conjugate harmonic forms. We also prove the Caccioppoli inequality with Orlicz norm for conjugate harmonic forms.

Suggested Citation

  • Shusen Ding & Yuming Xing, 2012. "Orlicz Norm Inequalities for Conjugate Harmonic Forms," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 161-176, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_11
    DOI: 10.1007/978-1-4614-3498-6_11
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