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STEIN-WEISS INEQUALITY IN L1 NORM FOR VECTOR FIELDS

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Autor(es):
de Napoli, Pablo ; Picon, Tiago
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Proceedings of the American Mathematical Society; v. 151, n. 4, p. 17-pg., 2022-12-01.
Resumo

In this work, we investigate the limit case p = 1 of the classical Stein-Weiss inequality for the Riesz potential. Our main result is a charac-terization of this inequality for a special class of vector fields associated to cocanceling operators introduced by Van Schaftingen [J. Eur. Math. Soc. (JEMS) 15 (2013), pp. 877-921]. As application, we recover and improve some fractional inequalities associated to vector fields. (AU)

Processo FAPESP: 18/15484-7 - Estimativas a priori para operadores elípticos e aplicações
Beneficiário:Tiago Henrique Picon
Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores - Fase 2