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Grantor: Czech Science Foundation (GAČR)

**Objectives**:

The main goal of this project is to find easily verifiable conditions which characterize embeddings of function spaces and boundedness of linear and quasilinear operators acting between function spaces, and to apply obtained results in the theory of real interpolation. The problems we propose to be studied are central to Mathematical Analysis, in particular in the study of PDE’s, integral operators, function spaces, and the real interpolation. In addition to their intrinsic interest and importance they underpin much of the work in subjects as diverse as Fluid Mechanics and Mathematical Physics. They

involve techniques which have been developed a great deal during the last decade and the members of our grant group have taken part in their development. The participants of the grant project published a number of important results in the field of function spaces in well-known academic journals.

Main investigator:

IM team members:

Opic Bohumír |

Participating institutions:

Faculty of Mathematics and Physics, Charles University, **Coordinator**

Institute of Mathematics, Czech Academy of Sciences

Faculty of Engineering, Czech University of Life Sciences Prague

Faculty of Civil Engineering, Czech Technical University in Prague