Pregled bibliografske jedinice broj: 1033260
A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets
A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets // Glasnik matematički, 54 (2019), 1; 233-254 doi:10.3336/gm.54.1.10 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1033260 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets
Autori
Wagner, Vanja
Izvornik
Glasnik matematički (0017-095X) 54
(2019), 1;
233-254
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Function spaces of generalized smoothness ; d-sets ; trace space ; Bernstein functions
Sažetak
The main goal of this paper is to give a complete proof of the trace theorem for Besov-type spaces of generalized smoothness associated with complete Bernstein functions satisfying certain scaling conditions on d-sets D ⊂ℝn, d≤ n. The proof closely follows the classical approach by Jonsson, Wallin in [18] and the trace theorem for classical Besov spaces. Here, the trace space is defined by means of differences. When d=n, as an application of the trace theorem, we give a condition under which the test functions Cc∞(D) are dense in the trace space on D.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Vanja Wagner
(autor)
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
