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Last update: T_KMA (02.05.2013)
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Last update: prof. RNDr. Jan Malý, DrSc. (10.05.2018)
The course is completed by an oral exam. The required knowledge corresponds to the material delivered during the lectures. |
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Last update: T_KMA (02.05.2013)
E. M. Stein: Singular integrals and differentiability properties of functions. Princeton University Press, Princeton, N.J. 1970 W. P. Ziemer: Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Springer-Verlag, New York, 1989 |
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Last update: prof. RNDr. Jan Malý, DrSc. (10.05.2018)
Singular integrals Calderon-Zygmund kernels L^2 estimate weak type L^1 estimate Marcinkiewicz interpolation theorem - special case Bessel and Riesz kernels Sobolev spaces of fractional order Characterization of Sobolev spaces in terms of Bessel potentials Hilbert and Riesz transform Poisson integral Energies and potentials Capacity |
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Last update: prof. RNDr. Jan Malý, DrSc. (10.05.2018)
Measure theory, Lebesgue integration, Fourier transform, distributions
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