2026-06-01T01:26:32Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/350322025-04-08T14:40:17Zcom_20.500.14352_14col_20.500.14352_15
Optimal Hardy–Littlewood type inequalities for polynomials and multilinear operators
Albuquerque, N.
Bayart, F.
Pellegrino, Daniel
Seoane Sepúlveda, Juan Benigno
517.98
Análisis funcional y teoría de operadores
In this paper we obtain quite general and definitive forms for Hardy–Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and straightforward proofs and we are able to show that in most cases the exponents involved are optimal. The technique we used is a combination of probabilistic tools and of an interpolative approach; this former technique is also employed in this paper to improve the constants for vectorvalued Bohnenblust–Hille type inequalities.
CNPq Grant
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-19T14:58:57Z
2023-06-19T14:58:57Z
2015
journal article
https://hdl.handle.net/20.500.14352/35032
0021-2172
10.1007/s11856-015-1264-7
eng
PDSE/CAPES 12038-13-0.
401735/2013-3
restricted access
application/pdf
application/pdf
Springer Verlag