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Grant 201/08/0383     1.1.2008 - 31.12.2012
Grantor: Grant Agency of Czech Republic (GACR)

Function spaces and weighted inequalities and interpolation

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.

 Participating institutions:

Institute of Mathematics, AS CR,
Charles University , CU

 IM team members:  
Opic Bohumír