R. Vidal

activity

20172022

collaborators

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2 papers · 1 filter

math.CA2020

Necessary condition on the weight for maximal and integral operators with rough kernels

Gonzalo H. Ibañez-Firnkorn, María Silvina Riveros, Raúl E. Vidal

Let $0 \leq α < n$ , $m \in N$ and let consider $T_{α, m}$ be a of integral operator, given by kernel of the form $K (x, y) = k_{1} (x - A_{1} y) k_{2} (x - A_{2} y) \dots k_{m} (x - A_{m} y),$ where $A_{i}$ …

math.CA2018

Sharp bounds for fractional operator with $L^{α, r^{'}}$ -Hörmander conditions

Gonzalo H. Ibañez-Firnkorn, María Silvina Riveros, Raúl E. Vidal

In this paper we prove the sharp boundedness for a fractional type operator given by a kernel that satisfy a $L^{α, r^{'}}$ -Hörmander conditions and a fractional size condition, where…

Necessary condition on the weight for maximal and integral operators with rough kernels

Sharp bounds for fractional operator with Lα,r′-Hörmander conditions

Sharp bounds for fractional operator with $L^{α, r^{'}}$ -Hörmander conditions