4 papers
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…
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…