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Matematicheskie Zametki, 2019, Volume 106, Issue 2, Pages 241–247
DOI: https://doi.org/10.4213/mzm12072 (Mi mzm12072) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane

M. Izukia, T. Kayamab, T. Noic, Y. Sawanoc

a Okayama University
b Hyogo University of Teacher Education, Japan
c Tokyo Metropolitan University
Full-text PDF (470 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12072
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: variable exponent, modular inequality, Lebesgue space on the complex plane.
Funding agency Grant number
Japan Society for the Promotion of Science 15K04928
16K05212
16K05209
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.
Received: 25.05.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 2, Pages 229–234
DOI: https://doi.org/10.1134/S0001434619070265
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. Izuki, T. Kayama, T. Noi, Y. Sawano, “Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane”, Mat. Zametki, 106:2 (2019), 241–247; Math. Notes, 106:2 (2019), 229–234
Citation in format AMSBIB
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\pages 241--247
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Linking options:
  • https://www.mathnet.ru/eng/mzm12072
  • https://doi.org/10.4213/mzm12072
  • https://www.mathnet.ru/eng/mzm/v106/i2/p241
    • This publication is cited in the following 1 articles:
    1. M. Izuki, T. Noi, Y. Sawano, “Some modular inequalities in Lebesgue spaces with a variable exponent”, Trans. A Razmadze Math. Inst., 174:3 (2020), 343–349  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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