Besov spaces on spaces of homogeneous type and fractals

• Autorzy: Dachun Yang
• Języki publikacji: EN

Abstrakty

EN

Let Γ be a compact d-set in ℝⁿ with 0 < d ≤ n, which includes various kinds of fractals. The author shows that the Besov spaces $B^s_{pq}(Γ)$ defined by two different and equivalent methods, namely, via traces and quarkonial decompositions in the sense of Triebel are the same spaces as those obtained by regarding Γ as a space of homogeneous type when 0 < s < 1, 1 < p < ∞ and 1 ≤ q ≤ ∞.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 43A99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 156
• Numer: 1
• Strony: 15-30

Daty

wydano

2003

Twórcy

autor

Dachun Yang

• Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China

Identyfikatory

DOI

10.4064/sm156-1-2