Higher integrability via Riesz transforms and interpolation

Claudia Capone, Luigi Greco, Tadeusz Iwaniec

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Elementary interpolation was used in nonlinear partial differential equations (PDE) to study higher integrability via Riesz transforms. The analysis was conducted in Dirichlet space of locally integrable functions in RN. The uniqueness statement for solutions of the nonlinear PDE was also proved.

Original languageEnglish (US)
Pages (from-to)513-523
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume49
Issue number4
DOIs
StatePublished - May 1 2002

Keywords

  • Interpolation
  • Nonlinear commutators
  • Reverse Hölder inequalities
  • Singular integrals
  • p-Harmonic equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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