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Grant KJB100190901     1.1.2009 - 31.12.2011
Grantor: Grant Agency of Czech Academy of Sciences

Singular and maximal operators on function spaces

We propose to study certain classes o operators which play important role in Harmonic analysis. A singular integral operator is a convolution operator with non-integrable kernel. If the kernel does not satisfy any smoothness conditions the operator is called rough. We intend to study rough operators of certain types, linear and bilinear. Maximal operators have many uses, probably the most important is the study o almost everywhere convergence. We wish to study rough maximal operators, which are related to the rough singular integral operators. We also want to focus on maximal operators related to Fourier multiplier operators. Furthermore, we want to work on a problem related to interpolation spaces of certain types.

 Main investigator:

Honzík Petr