Abstract and Applied Analysis (Jan 2011)

Function Spaces with a Random Variable Exponent

  • Boping Tian,
  • Yongqiang Fu,
  • Bochi Xu

DOI
https://doi.org/10.1155/2011/179068
Journal volume & issue
Vol. 2011

Abstract

Read online

The spaces with a random variable exponent 𝐿𝑝(πœ”)(𝐷×Ω) and π‘Šπ‘˜,𝑝(πœ”)(𝐷×Ω) are introduced. After discussing the properties of the spaces 𝐿𝑝(πœ”)(𝐷×Ω) and π‘Šπ‘˜,𝑝(πœ”)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.