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Trudinger's exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces
Authors:Yoshihiro Mizuta  Takao Ohno
Institution:1. Department of Mechanical Systems Engineering, Hiroshima Institute of Technology, 2-1-1 Miyake Saeki-ku, Hiroshima 731-5193, Japan;2. Faculty of Education and Welfare Science, Oita University, Dannoharu, Oita-city 870-1192, Japan
Abstract:Our aim in this paper is to discuss Trudinger's exponential integrability for Riesz potentials of functions in generalized grand Morrey spaces. Our result will imply the boundedness of the Riesz potential operator from a grand Morrey space to a Morrey space.
Keywords:Riesz potentials  Trudinger's inequality  Grand Morrey spaces
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