M. Urciuolo

activity

20162019

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math.CA2019

Integral operators with rough kernels in variable Lebesgue spaces

Marta Urciuolo, Lucas Vallejos

In this paper we study integral operators with kernels \begin{equation*} K(x,y)= k_1( x- A_1y)...k_m( x-A_my), \end{equation*} $k_{i} (x) = \frac{Ω _{i} ( x )}{∣ x ∣ ^{n / q_{i}}}$ where $Ω_i: \math…

math.CA2018

A generalization of the boundedness of certain integral operators in variable Lebesgue spaces

Lucas Alejandro Vallejos, Marta Susana Urciuolo

Let $A_{1}, ... A_{m}$ be a $n \times n$ invertible matrices. Let $0 \leq α < n$ and $0 < α_{i} < n$ such that $α_{1} + ... + α_{m} = n - α$ . We define% \begin{equation*} T_αf(x)=\int \frac{1}{\…

math.CA2016

Fractional type integral operators on variable Hardy spaces

Pablo Rocha, Marta Urciuolo

We study the boundedness of certain fractional integral operators from Hp(.) into Lq(.). We also obtain the Hp(.)- Hq(.) boundedness of the Riesz potential.