- Tytuł:
- Essential norm estimates for multilinear singular and fractional integrals
- Autorzy:
- Meskhi, Alexander
- Powiązania:
- https://bibliotekanauki.pl/articles/1912838.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Multilinear Hilbert and Riesz transforms
multilinear fractional integrals
measure of noncompactness
weighted inequalities
Banach function lattices - Opis:
- We derive lower two-weight estimates for the essential norm (measure of noncompactness) for multilinear Hilbert and Riesz transforms, and Riesz potential operators in Banach function lattices. As a corollary we have appropriate results in weighted Lebesgue spaces. From these statements we conclude that there is no \((m+1)\)-tuple of weights \((v,w_1, \dots, w_m)\) for which these operators are compact from \(L^{p_1}_{w_1} \times \dots \times L^{p_m}_{w_m}\) to \(L^q_v\).
- Źródło:
-
Commentationes Mathematicae; 2019, 59, 1-2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł