Some Modular Inequalities in Lebesgue Spaces
Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 241-247

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We consider the modular inequalities for some linear operators on Lebesgue spaces with variable exponent on the complex plane. The main results show that the variable exponent must be constant if modular inequalities hold.
Keywords: variable exponent, modular inequality
Mots-clés : Lebesgue space on the complex plane.
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     author = {M. Izuki and T. Kayama and T. Noi and Y. Sawano},
     title = {Some {Modular} {Inequalities} in {Lebesgue} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a6/}
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M. Izuki; T. Kayama; T. Noi; Y. Sawano. Some Modular Inequalities in Lebesgue Spaces. Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 241-247. http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a6/