M. Toschi

activity

20102015

collaborators

4 papers

math.AP2015

The sharp maximal function approach to $L^{p}$ estimates for operators structured on Hörmander's vector fields

Marco Bramanti, Marisa Toschi

We consider a nonvariational degenerate elliptic operator structured on a system of left invariant, 1-homogeneous, Hörmander's vector fields on a Carnot group in $R^{n}$ , where the…

math.MG2013

On s-sets in spaces of homogeneous type

Marilina Carena, Marisa Toschi

Let $(X, d, μ)$ be a space of homogeneous type. In this note we study the relationship between two types of $s$ -sets: relative to a distance and relative to a measure. We find a cond…

math.FA2013

Powers of distances to lower dimensional sets as Muckenhoupt weights

Hugo Aimar, Marilina Carena, Ricardo Durán +1

Let $(X, d, μ)$ be an Ahlfors metric measure space. We give sufficient conditions on a closed set $F \subseteq X$ and on a real number $β$ in such a way that $d (x, F)^{β}$ becomes a Muck…

math.AP2010

On the existence of bounded solutions for a nonlinear elliptic system

Ricardo G. Duran, Marcela Sanmartino, Marisa Toschi

This work deals with the system $(- Δ)^{m} u = a (x) v^{p}$ , $(- Δ)^{m} v = b (x) u^{q}$ with Dirichlet boundary condition in a domain $Ω\subset\RR^n$, where $Ω$ is a ball if $n \geq 3$ or a smooth…

The sharp maximal function approach to Lp estimates for operators structured on Hörmander's vector fields

On s-sets in spaces of homogeneous type

Powers of distances to lower dimensional sets as Muckenhoupt weights

On the existence of bounded solutions for a nonlinear elliptic system

The sharp maximal function approach to $L^{p}$ estimates for operators structured on Hörmander's vector fields