7 papers
Structural Properties of the Köthe Dual of the Matricial Bloch Space
Liviu-Gabriel Marcoci
We study the Köthe dual of the matricial Bloch space. A 2015 conjecture [Publ. Math. Debrecen \textbf{87} (2015), 351--370] proposed that this space coin…
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.
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…
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…