Function Spaces with a Random Variable Exponent

الملخص EN

The spaces with a random variable exponent Lp(ω)(D×Ω) and Wk,p(ω)(D×Ω) are introduced.

After discussing the properties of the spaces Lp(ω)(D×Ω) and Wk,p(ω)(D×Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.