- Tytuł:
- Maximal functions and smoothness spaces in $L_{p}(ℝ^{d})
- Autorzy:
- Kyriazis, G. C.
- Powiązania:
- https://bibliotekanauki.pl/articles/1218547.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
maximal functions
approximation by operators
wavelets
smoothness spaces - Opis:
- We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces $C^α_p(ℝ^d)$, 0 < p≤∞, introduced by DeVore and Sharpley [DS] by means of the so-called sharp maximal functions of Calderón and Scott. As an application we characterize the $C^α_p(ℝ^d)$ spaces in terms of the coefficients of wavelet decompositions.
- Źródło:
-
Studia Mathematica; 1998, 128, 3; 219-241
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł