3 papers
math.FA2026
Sparse pointwise bounds for maximal truncations of rough singular integrals and Sobolev-type inequalities
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
Let and let Omega be in with vanishing mean. We prove that the maximal truncation of the rough singular integral is pointwise dominated by…
math.FA2025
New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These poi…
math.FA2024
A new pointwise inequality for rough operators and applications
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We study in this article a new pointwise estimate for ''rough'' singular integral operators. From this pointwise estimate we will derive Sobolev type inequalities in a variety of f…