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Hausdorff dimension of singular sets of Sobolev functions and applications (CROSBI ID 39710)

Prilog u knjizi | izvorni znanstveni rad

Žubrinić, Darko Hausdorff dimension of singular sets of Sobolev functions and applications // More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress / Begher, H.G.W. ; Nicolosi, F. (ur.). Singapur: World Scientific Publishing, 2009. str. 793-802

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

Povezanost rada

Temeljne tehničke znanosti, Matematika