Essential norm estimates for multilinear singular and fractional integrals

• Autorzy: Alexander Meskhi
• Języki publikacji: EN

Abstrakty

EN

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 \(L^q_v\).

Słowa kluczowe

EN

Multilinear Hilbert and Riesz transforms; multilinear fractional integrals; measure of noncompactness; weighted inequalities; Banach function lattices

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: 59
• Numer: 1-2

Daty

wydano

2019

online

2020-02-13

Twórcy

autor

Alexander Meskhi

Identyfikatory

DOI

10.14708/cm.v59i1-2.6523