Email this article Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane
- Authors: Izuki M.1, Koyama T.2, Noi T.3, Sawano Y.3
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Affiliations:
- Tokyo City University
- Hyogo University of Teacher Education
- Tokyo Metropolitan University
- Issue: Vol 106, No 1-2 (2019)
- Pages: 229-234
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151824
- DOI: https://doi.org/10.1134/S0001434619070265
- ID: 151824
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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.
About the authors
M. Izuki
Tokyo City University
Author for correspondence.
Email: izuki@tcu.ac.jp
Japan, Tokyo, 158-8557
T. Koyama
Hyogo University of Teacher Education
Author for correspondence.
Email: p1ix75mm@okayama-u.ac.jp
Japan, Kato, Hyogo, 673-1494
T. Noi
Tokyo Metropolitan University
Author for correspondence.
Email: taka.noi.hiro@gmail.com
Japan, Tokyo, 192-0364
Y. Sawano
Tokyo Metropolitan University
Author for correspondence.
Email: yoshihiro-sawano@celery.ocn.ne.jp
Japan, Tokyo, 192-0364
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