Glasnik matematički, Vol. 54 No. 1, 2019.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.54.1.10
A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets
Vanja Wagner
; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
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.
Ključne riječi
Function spaces of generalized smoothness; d-sets; trace space; Bernstein functions
Hrčak ID:
220848
URI
Datum izdavanja:
7.6.2019.
Posjeta: 1.457 *