- Tytuł:
- Integral operators and weighted amalgams
- Autorzy:
-
Carton-Lebrun, C.
Heinig, H.
Hofmann, S. - Powiązania:
- https://bibliotekanauki.pl/articles/1290479.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
amalgam spaces
weights
$A_p$ weights
Hardy operator
Hardy-Littlewood maximal operator
weighted amalgam inequalities - Opis:
- For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from $ℓ^{q̅}(L^{p̅}_{v})$ into $ℓ^{q}(L^{p}_{u})$. For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted $L^p$-spaces. Amalgams of the form $ℓ^{q}(L^{p}_{w})$, 1 < p,q < ∞ , q ≠ p, $w ∈ A_p$, are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.
- Źródło:
-
Studia Mathematica; 1994, 109, 2; 133-157
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł