Pregled bibliografske jedinice broj: 425390
Hausdorff dimension of singular sets of Sobolev functions and applications
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
CROSBI ID: 425390 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hausdorff dimension of singular sets of Sobolev functions and applications
Autori
Žubrinić, Darko
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress
Urednik/ci
Begher, H.G.W. ; Nicolosi, F.
Izdavač
World Scientific Publishing
Grad
Singapur
Godina
2009
Raspon stranica
793-802
ISBN
13 978-981-283-562-8
Ključne riječi
Sobolev functions, Hausdorff dimension, singular sets, Bessel potential, Besov space, Lizorkin-Triebel space, Hardy space, maximally singular function
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
POVEZANOST RADA
Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Darko Žubrinić
(autor)
