Journal
STUDIA MATHEMATICA
Volume 188, Issue 3, Pages 193-221Publisher
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
DOI: 10.4064/sm188-3-1
Keywords
Orlicz space; Morrey space; Hardy-Littlewood maximal function; fractional integral
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Funding
- Ministry of Education, Culture, Sports, Science and Technology, Japan [17654033]
- Japan Society for the Promotion of Science [20540167]
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We prove basic properties of Orlicz-Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy-Littlewood maximal operator M from one Orlicz-Morrey space to another. For example, if f is an element of L(log L) (R-n), then M f is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M, we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.
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