Výsledky vyhledávání - "Toschi, Marisa"

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Weighted estimates for Schr\'odinger--Calder\'on--Zygmund operators with exponential decay

Autor: Dalmasso, Estefanía, Lezama, Gabriela R., Toschi, Marisa

In this work we obtain weighted boundedness results for singular integral operators with kernels exhibiting exponential decay. We also show that the classes of weights are characterized by a suitable maximal operator. Additionally, we study the bound

Externí odkaz: http://arxiv.org/abs/2412.08566

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

Autor: Bramanti, Marco, Toschi, Marisa

We consider a nonvariational degenerate elliptic operator structured on a system of left invariant, 1-homogeneous, H\"ormander's vector fields on a Carnot group in $R^{n}$, where the matrix of coefficients is symmetric, uniformly positive on a bounde

Externí odkaz: http://arxiv.org/abs/1511.03536

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On s-sets in spaces of homogeneous type

Autor: Carena, Marilina, Toschi, Marisa

Let $(X,d,\mu)$ 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 condition on a closed subset $F$ of $X$ under which we have that $F$ is

Externí odkaz: http://arxiv.org/abs/1312.2971

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Powers of distances to lower dimensional sets as Muckenhoupt weights

Autor: Aimar, Hugo, Carena, Marilina, Durán, Ricardo, Toschi, Marisa

Let $(X,d,\mu)$ be an Ahlfors metric measure space. We give sufficient conditions on a closed set $F\subseteq X$ and on a real number $\beta$ in such a way that $d(x,F)^\beta$ becomes a Muckenhoupt weight. We give also some illustrations to regularit

Externí odkaz: http://arxiv.org/abs/1306.0893

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On the existence of bounded solutions for a nonlinear elliptic system

Autor: Duran, Ricardo G., Sanmartino, Marcela, Toschi, Marisa

This work deals with the system $(-\Delta)^m u= a(x) v^p$, $(-\Delta)^m v=b(x) u^q$ with Dirichlet boundary condition in a domain $\Omega\subset\RR^n$, where $\Omega$ is a ball if $n\ge 3$ or a smooth perturbation of a ball when $n=2$. We prove that,

Externí odkaz: http://arxiv.org/abs/1011.0412

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