30 citations · 61 across the 8 of their papers we have counts for
9 papers
Further evidence towards the Fourier Entropy-Influence conjecture
María José González, Paul MacManus, María Cristina Pereyra
The Fourier Entropy-Influence (FEI) conjecture states that the Fourier entropy of Boolean functions is uniformly bounded by their total influence. It has been verified for canonica…
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…
On two weight estimates for dyadic operators
Oleksandra Beznosova, Daewon Chung, Jean Carlo Moraes +1
We provide a quantitative two weight estimate for the dyadic paraproduct under certain conditions on a pair of weights and in , a new class of functio…
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…
Sharp bounds for -Haar multipliers on
Oleksandra Beznosova, Jean Carlo Moraes, Maria Cristina Pereyra
We show that if a weight and there is such that , then the -norm of the -Haar multiplier of complexity associated to dep…
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…