New multiple weights and the Adams inequality on weighted Morrey spaces

Takeshi Iida; Yasuo Komori-Furuya; Enji Sato

doi:10.32219/isms.74.2_3_145

Takeshi Iida, Yasuo Komori-Furuya, Enji Sato

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Keywords: the Adams inequality, weighted Morrey space, multiple weights class, Ap weight, multilinear fractional integral operator, BMO space, Lipschitz space

JOURNAL FREE ACCESS

2011 Volume 74 Issue 2+3 Pages 145-157

DOI https://doi.org/10.32219/isms.74.2_3_145

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Abstract

We introduce a new multiple weights class and generalize the Adams inequality to the multilinear fractional integral operator on weighted Morrey spaces. We also investigate the boundedness of the multilinear fractional integral operator from weighted Morrey spaces to BMO or Lipschitz spaces.

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