Main Topics:
- Function Spaces of differentiable functions
- Non-standard Banach function spaces arising in fluid dynamics, calculus of variation, nonlinear theory of elasticity, differential equations with variable growth exponent
- Fractional and singular integral operators in Banach function spaces with variable exponent
- Sobolev spaces and embeddings
- Weighted function spaces
- Spectral theory of differential operators
- Ergodic operators in generalized Lebesgue spaces
- Application in boundary value problems of PDE, singular integral equations, fluid dynamics