Journal of Inequalities and Applications (Jan 2011)

Orlicz norm inequalities for the composite operator and applications

  • Ding Shusen,
  • Bi Hui

Journal volume & issue
Vol. 2011, no. 1
p. 69

Abstract

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Abstract In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation. Then we develop these estimates to Lφ(µ)-averaging domains. Finally, we give some specific examples of Young functions and apply them to the norm inequality for the composite operator. 2000 Mathematics Subject Classification: Primary 26B10; Secondary 30C65, 31B10, 46E35.

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