TY - JOUR
T1 - Complex interpolation of the predual of Morrey spaces over measure spaces
AU - Burenkov, Victor I.
AU - Hakim, Denny I.
AU - Nakai, Eiichi
AU - Sawano, Yoshihiro
AU - Sobukawa, Takuya
AU - Tararykova, Tamara V.
PY - 2019
Y1 - 2019
N2 - We prove that block spaces defined on Rn with an arbitrary Radon measure, which are known to be the preduals of Morrey spaces, are closed under the first and the second complex interpolation method. The proof of our main theorem uses the duality theorem in the complex interpolation method, the complex interpolation of certain closed subspaces of Morrey spaces, a characterization of the preduals of block spaces, and some formulas related to the Calderón product.
AB - We prove that block spaces defined on Rn with an arbitrary Radon measure, which are known to be the preduals of Morrey spaces, are closed under the first and the second complex interpolation method. The proof of our main theorem uses the duality theorem in the complex interpolation method, the complex interpolation of certain closed subspaces of Morrey spaces, a characterization of the preduals of block spaces, and some formulas related to the Calderón product.
KW - block spaces
KW - complex interpolation method
KW - Morrey spaces
KW - preduals of Morrey spaces
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U2 - 10.1515/gmj-2019-2070
DO - 10.1515/gmj-2019-2070
M3 - Article
AN - SCOPUS:85075991045
SN - 1572-9176
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
ER -