A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets
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...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001075556/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 54 (2019), 1 ; str. 233-254 |
| Glavni autor: | Wagner, Vanja (Author) |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.54.1.10 Glasnik matematički (Online) Hrčak |
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| 008 | 200928s2019 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.54.1.10 | |
| 035 | |a (HR-ZaNSK)001075556 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Wagner, Vanja |4 aut | |
| 245 | 1 | 2 | |a A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets |h [Elektronička građa] / |c Vanja Wagner. |
| 504 | |a Bibliografija: 28 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a 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. | ||
| 653 | 0 | |a Bernsteinove funkcije |a Funkcijski prostori | |
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| 981 | |b Be2019 |b B05/19 | ||
| 998 | |b tino2010 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.54.1.10 |
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| 856 | 4 | 0 | |u https://hrcak.srce.hr/220848 |y Hrčak |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |