Hausdorff dimension of singular sets of Sobolev functions and applications (CROSBI ID 39710)
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Podaci o odgovornosti
Žubrinić, Darko
engleski
Hausdorff dimension of singular sets of Sobolev functions and applications
We describe a recent progress in finding optimal bounds of Hausdorff dimension of singular sets of functions in Lebesgue spaces, Sobolev spaces, Bessel potential spaces, Besov spaces, Lizorkin-Triebel spaces, and Hardy spaces. We are also interested in the question of existence of maximally singular functions in a given space of functions, that is, functions such that the Hausdorff dimension of their singular sets is maximal possible.
Sobolev functions, Hausdorff dimension, singular sets, Bessel potential, Besov space, Lizorkin-Triebel space, Hardy space, maximally singular function
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Podaci o prilogu
793-802.
objavljeno
Podaci o knjizi
More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress
Begher, H.G.W. ; Nicolosi, F.
Singapur: World Scientific Publishing
2009.
13 978-981-283-562-8