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Gonzalo H. Ibañez Firnkorn

Publications and source records attributed to Gonzalo H. Ibañez Firnkorn.

2 recordsLinked to original sources
arXiv2026

Weighted boundedness of maximal operator associated with invertible linear transformations on variable Lebesgue spaces

In this paper, we study the boundedness of $M_{A^{-1}}$, the maximal operator involves an invertible matrix, on the weighted variable spaces $L^{p(\cdot)}(w)$, where the weights are in an appropriate class. In general, we obtain the necessary conditions for the weight classes and exponents. However, for certain types of invertible matrices, we characterize the weights such that the boundedness holds.

math.CA↗
arXiv2017

Hörmander's conditions for vector-valued kernels of singular integrals and its commutators

In this paper we study Coifman type estimates and weighted norm inequalities for singular integral operators $T$ and its commutators, given by the convolution with a vector valued kernel $K$. We define a weaker Hörmander type condition associated with Young functions for the vector valued kernels. With this general framework we obtain as an example the result for the square operator and its commutator given in [ M. Lorente, M.S. Riveros, A. de la Torre \emph{On the Coifman type inequality for the oscillation of the one-sided averages }, Journal of Mathematical Analysis and Applications, Vol 336, Issue 1,\ (2007) 577-592.]

math.CA↗