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Pregled bibliografske jedinice broj: 98023

Singular sets of Sobolev functions

Žubrinić, Darko
Singular sets of Sobolev functions // Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 334 (2002), 7; 539-544 (međunarodna recenzija, članak, znanstveni)

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Naslov
Singular sets of Sobolev functions

Autori
Žubrinić, Darko

Izvornik
Comptes rendus de l'Académie des sciences. Série 1, Mathématique (0764-4442) 334 (2002), 7; 539-544

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Sažetak
We are interested in finding Sobolev functions with "large" singular sets. Given , 1<p<, kp<N, for any compact subset A of , such that its upper box dimension is less than N-kp, we construct a Sobolev function which is singular precisely on A. We introduce the notions of lower and upper singular dimensions of Sobolev space, and show that both are equal to N-kp.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
0036031

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Darko Žubrinić (autor)

Citiraj ovu publikaciju:

Žubrinić, Darko
Singular sets of Sobolev functions // Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 334 (2002), 7; 539-544 (međunarodna recenzija, članak, znanstveni)
Žubrinić, D. (2002) Singular sets of Sobolev functions. Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 334 (7), 539-544.
@article{article, author = {\v{Z}ubrini\'{c}, Darko}, year = {2002}, pages = {539-544}, keywords = {}, journal = {Comptes rendus de l'Acad\'{e}mie des sciences. S\'{e}rie 1, Math\'{e}matique}, volume = {334}, number = {7}, issn = {0764-4442}, title = {Singular sets of Sobolev functions}, keyword = {} }
@article{article, author = {\v{Z}ubrini\'{c}, Darko}, year = {2002}, pages = {539-544}, keywords = {}, journal = {Comptes rendus de l'Acad\'{e}mie des sciences. S\'{e}rie 1, Math\'{e}matique}, volume = {334}, number = {7}, issn = {0764-4442}, title = {Singular sets of Sobolev functions}, keyword = {} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • SCI-EXP, SSCI i/ili A&HCI

Uključenost u ostale bibliografske baze podataka::


  • Mathematical Reviews

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