Journal of Inequalities and Applications (Jan 2009)

Norm Comparison Inequalities for the Composite Operator

  • Ding Shusen,
  • Xing Yuming

Journal volume & issue
Vol. 2009, no. 1
p. 212915

Abstract

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We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying the A-harmonic equation. Based on these results, we obtain the two-weight estimates for Lipschitz and BMO norms of the composite operator in terms of the -norm.