Pregled bibliografske jedinice broj: 191133
Maximally singular Sobolev functions
Maximally singular Sobolev functions // Journal of mathematical analysis and applications, 304 (2005), 2; 531-541 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 191133 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Maximally singular Sobolev functions
Autori
Horvat, Lana ; Žubrinić, Darko
Izvornik
Journal of mathematical analysis and applications (0022-247X) 304
(2005), 2;
531-541
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sobolev function; Bessel potential; fractal set; Minkowski content; Sierpinski carpet
Sažetak
We construct a class of maximally singular Sobolev functions, that is, such that the Hausdorff dimension of their singular set is equal to $N-mp$. The result has been announced by the second author in [Chaos Solitons Fractals 21 (2004), p. 1287]. The precise values of lower and upper Minkowski contents of Sierpinski carpet are computed and applied to the study of asymptotics of some singular integrals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
