30 citations · 61 across the 8 of their papers we have counts for
6 papers · 1 filter
Two-weight estimates for the square function and -Haar multipliers
Daewon Chung, Jean Carlo Moraes, María Cristina Pereyra +1
We present necessary and sufficient conditions on triples of weights for the boundedness of the dyadic weighted square function from into . We use…
Weighted Inequalities for -Haar multipliers
Daewon Chung, Weiyan Huang, Jean Carlo Moraes +2
In this paper, we provide necessary and sufficient conditions on a triple of weights so that the -Haar multipliers , , %defined in \cite{P} when $σ…
Dyadic harmonic analysis and weighted inequalities: the sparse revolution
María Cristina Pereyra
We will introduce the basics of dyadic harmonic analysis and how it can be used to obtain weighted estimates for classical Calderón-Zygmund singular integral operators and their co…
Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type
Yongsheng Han, Ji Li, M. Cristina Pereyra +1
We provide an atomic decomposition of the product Hardy spaces which were recently developed by Han, Li, and Ward in the setting of product spaces of homogeneo…
Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
Anna Kairema, Ji Li, M. Cristina Pereyra +1
We give an explicit construction of Haar functions associated to a system of dyadic cubes in a geometrically doubling quasi-metric space equipped with a positive Borel measure, and…
Weighted estimates for dyadic paraproducts and t-Haar multipiers with complexity (m,n)
Jean Carlo Moraes, María Cristina Pereyra
We extend the definitions of dyadic paraproduct and t-Haar multipliers to dyadic operators that depend on the complexity (m,n), for m and n positive integers. We will use the ideas…