L. A. Vallejos

activity

20182026

collaborators

4 papers

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.AP2024

Existence of positive solutions for a semipositone $p (\cdot)$ -Laplacian problem

Lucas A. Vallejos, Raúl E. Vidal

In this paper we find a positive weak solution for a semipositone $p (\cdot)$ - Laplacian problem. More precisely, we find a solution for the problem \[ \left\{ \begin{array}{cc} -Δ…

math.AP2022

Weighted $p (\cdot)$ -Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications

L. A. Vallejos, R. E. Vidal

In this paper we will establish different weighted Poincaré inequalities with variable exponents on Carnot-Carathéodory spaces or Carnot groups. We will use different techniques to…

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

Existence of positive solutions for a semipositone p(⋅)-Laplacian problem

Weighted p(⋅)-Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications

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

Existence of positive solutions for a semipositone $p (\cdot)$ -Laplacian problem

Weighted $p (\cdot)$ -Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications