期刊
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 363, 期 12, 页码 6481-6503出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-2011-05294-3
关键词
Generalized fractional integral operator; generalized fractional maximal operator; Morrey space; Olsen's inequality; block space
类别
资金
- Graduate School of Mathematical Sciences at the University of Tokyo
- Fujyukai Foundation
The action of the generalized fractional integral operators and the generalized fractional maximal operators is investigated in the framework of Morrey spaces. A typical property of the functions which belongs to Morrey spaces under pointwise multiplication by the generalized fractional integral operators and the generalized fractional maximal operators is established. The boundedness property of the fractional integral operators on the predual of Morrey spaces is shown as well. A counterexample concerning the Fefferman-Phong inequality is given by the use of the characteristic function of the Cantor set.
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