One-Sided Operators in Grand Variable Exponent Lebesgue Spaces

  • Vakhtang Kokilashvili

    I. Javakhishvili Tbilisi State University, Georgia
  • Alexander Meskhi

    I. Javakhishvili Tbilisi State University, Georgia

Abstract

The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.

Cite this article

Vakhtang Kokilashvili, Alexander Meskhi, One-Sided Operators in Grand Variable Exponent Lebesgue Spaces. Z. Anal. Anwend. 37 (2018), no. 3, pp. 277–297

DOI 10.4171/ZAA/1614