@article{6c3e15cfdfa04f5a92fc10c7b8f89c55,
title = "Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane",
abstract = "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 = "Lebesgue space on the complex plane, modular inequality, variable exponent",
author = "M. Izuki and T. Koyama and T. Noi and Y. Sawano",
note = "Funding Information: The work of Mitsuo Izuki was partially supported by Grand-in-Aid for Scientific Research (C), No. 15K04928, for Japan Society for the Promotion of Science. The work of Takahiro Noi was partially supported by Grand-in-Aid for Scientific Research (C), No. 16K05212, for Japan Society for the Promotion of Science. The work of Yoshihiro Sawano was partially supported by Grand-in-Aid for Scientific Research (C), No. 16K05209, for Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",
year = "2019",
month = jul,
day = "1",
doi = "10.1134/S0001434619070265",
language = "English",
volume = "106",
pages = "229--234",
journal = "Mathematical Notes of the Academy of Sciences of the USSR",
issn = "1757-7489",
publisher = "Springer Science + Business Media",
number = "1-2",
}