5 citations · 5 across the 6 of their papers we have counts for
9 papers
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…
Some results for a stationary Navier-Stokes equation with a rough drift in a weighted functional framework
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
In this article, we study some classes of solutions for a stationary Navier-Stokes equation where we consider a rough drift given by a singular integral operator which does not bel…
Global mild solutions for a transport-diffusion equation with a rough drift
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We construct here global mild solutions in a critical setting for a class of transport-diffusion equations with a drift term that involves rough Calder{ó}n-Zygmund operators.
Pointwise estimates for rough operators in a metric measure framework under some Ahlfors regularity conditions
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We establish a new pointwise estimate for a class of rough operators in the setting of metric measure spaces endowed with a measure which is Ahlfors regular. This pointwise inequal…
Discrete reversed Hardy inequalities and Hölder estimates in Lorentz sequence spaces
Sorina Barza, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We prove sharp reversed Hardy-type inequalities on the cone of decreasing sequences in weighted -spaces with power weights, applying them to estimate standard norms in Lore…
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…
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…
Factorizations of weighted Hardy inequalities
Sorina Barza, Anca N. Marcoci, Liviu G. Marcoci
We present factorizations of weighted Lebesgue, Ce\-s\` aro and Copson spaces, for weights satisfying the conditions which assure the boundedness of the Hardy's integral operator b…
Functional Inequalities in Stratified Lie groups with Sobolev, Besov, Lorentz and Morrey spaces
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
The study of Sobolev inequalities can be divided in two cases: p = 1 and 1 < p < +. In the case p = 1 we study here a relaxed version of refined Sobolev inequalities. When…