Busca avançada
Ano de início
Entree


On the Continuity of Strongly Singular Calderon-Zygmund-Type Operators on Hardy Spaces

Texto completo
Autor(es):
Picon, Tiago ; Vasconcelos, Claudio
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Integral Equations and Operator Theory; v. 95, n. 2, p. 29-pg., 2023-06-01.
Resumo

In this work, we establish results on the continuity of strongly singular Calderon-Zygmund operators of type s on Hardy spaces H-p(R-n) for 0 < p = 1 assuming a weaker L-s-type Hormander condition on the kernel. Operators of this type include appropriate classes of pseudodifferential operators OpS(s,b)(m)(R-n) and operators associated to standard d- kernels of type s introduced by Alvarez and Milman. As application, we show that strongly singular Calderon-Zygmund operators are bounded from H-w(p)(R-n) to L-w(p)(R-n), where w belongs to a special class of Muckenhoupt weight. (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