A new look at subrepresentation formulas

Autor:	Hoang, Cong, Moen, Kabe, Pérez, Carlos
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We extend the subrepresentation formula $$ |f(x)|\le c_n\,I_1(|\nabla f|)(x) $$ in several ways. First, we consider more general $A_1$-potential operators on the right-hand side and prove local and global pointwise inequalities for these operators. Second, we show that we can improve the right-hand side using fractional derivatives. Finally, we extend our results to rough singular integral operators, similar to the main result in [HMP1].
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.13772 Zobrazit plný text záznamu View this record from Arxiv