Essential norm estimates for multilinear singular and fractional integrals

• Autorzy: Meskhi Alexander

Identyfikatory

DOI

10.14708/cm.v59i1-2.6523

• 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, w₁, w_m) for which these operators are compact from L_w1^p1 ×…×L_wm^pm to L_v^q.

Słowa kluczowe

EN

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

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: Vol. 59, No. 1/2
• Strony: 81--93
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Meskhi Alexander

• Department of Mathematical Analysis, A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 6. Tamarashvili Str., 0177 Tbilisi, Georgia
• Department of Mathematics, Faculty of Informatics and Control Systems, Georgian Technical University, 77, Kostava St., 0171 Tbilisi, Georgia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).