- Tytuł:
- Mapping properties of integral averaging operators
- Autorzy:
-
P. Heinig, H.
Sinnamon, G. - Powiązania:
- https://bibliotekanauki.pl/articles/1218467.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
integral averaging operator
weight characterizations
Hardy inequalities
Steklov operator
differences - Opis:
- Characterizations are obtained for those pairs of weight functions u and v for which the operators $Tf(x) = ʃ_{a(x)}^{b(x)} f(t)dt$ with a and b certain non-negative functions are bounded from $L^p_u(0,∞)$ to $L^q_v(0,∞)$, 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.
- Źródło:
-
Studia Mathematica; 1998, 129, 2; 157-177
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł