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Positivity

, Volume 16, Issue 2, pp 339–358 | Cite as

Sharp bounds for multilinear fractional integral operators on Morrey type spaces

  • Takeshi Iida
  • Enji Sato
  • Yoshihiro Sawano
  • Hitoshi Tanaka
Article

Abstract

A multi-Morrey norm which is strictly smaller than m-fold product of the Morrey norms is introduced and the boundedness property of the Adams type for multilinear fractional integral operators is obtained. The optimality of the results is also discussed.

Keywords

Morrey space Multilinear fractional integral operator Multilinear fractional maximal operator Multilinear Calderón-Zygmund operator Adams’ inequality 

Mathematics Subject Classification (2000)

Primary 42B35 Secondary 42B25 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Takeshi Iida
    • 1
  • Enji Sato
    • 1
  • Yoshihiro Sawano
    • 2
  • Hitoshi Tanaka
    • 3
  1. 1.Department of Mathematical Sciences, Faculty of ScienceYamagata UniversityYamagataJapan
  2. 2.Department of MathematicsKyoto UniversityKyotoJapan
  3. 3.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan

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