L. A. Vallejos

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20182026

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math.CA2026

Weighted $H^{p} - L^{q}$ boundedness of integral operators with rough kernels

Andrea L. Gallo, M. Silvina Riveros, Lucas A. Vallejos

In this paper, we study integral operators \begin{equation*} T_αf(x)=\int_{\mathbb{R}^{n}}K(x,y) f(y)dy, \end{equation*} with kernels $K (x, y) = k_{1} (x - A_{1} y) ... k_{m} (x - A_{m} y),$ where…

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}{\…

Weighted Hp−Lq boundedness of integral operators with rough kernels

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

Weighted $H^{p} - L^{q}$ boundedness of integral operators with rough kernels