Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions

Autor(es)

Biliatto, Victor ; Moonens, Laurent ; Picon, Tiago

• Tipo de documento: Artigo Científico
• Fonte: FORUM MATHEMATICUM; v. N/A, p. 6-pg., 2024-10-02.

Resumo

In this note, we give an upper bound on the Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators with constant coefficients in the class of bounded functions, using a simple extension of Frostman's lemma in Euclidean space with an additional power decay. (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