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

M. Izuki, T. Koyama, T. Noi, Y. Sawano

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)229-234
Number of pages6
JournalMathematical Notes
Volume106
Issue number1-2
DOIs
Publication statusPublished - Jul 1 2019

Keywords

  • Lebesgue space on the complex plane
  • modular inequality
  • variable exponent

ASJC Scopus subject areas

  • Mathematics(all)

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