112 citations · 221 across the 18 of their papers we have counts for
16 papers · 1 filter
Almost sparse operators and Bergman projectors on trees
José M. Conde Alonso, Matteo Monti, Elena Rizzo
We develop a sparse domination framework adapted to nested families in general measure spaces, possibly including point masses. We show that the Carleson condition is equivalent to…
Sparse domination via the Calderón-Zygmund decomposition: the example of Dini-smooth kernels
Fernando Ballesta-Yagüe, José M. Conde-Alonso
In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis. We then use the one based on the Calderón-Zy…
Endpoint estimates and sparse domination in nonhomogeneous trees
José M. Conde-Alonso, Filippo De Mari, Matteo Monti +2
We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees that model manifolds with possibly unbounded geometry. The natural Bergman measu…
Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory
Léonard Cadilhac, José M. Conde-Alonso, Javier Parcet
In this paper we solve three problems in noncommutative harmonic analysis which are related to endpoint inequalities for singular integrals. In first place, we prove that an -…
A metric approach to sparse domination
José M. Conde Alonso, Francesco Di Plinio, Ioannis Parissis +1
We present a general approach to sparse domination based on single-scale -improving as a key property. The results are formulated in the setting of metric spaces of homogeneou…
On the dual of variable Lebesgue spaces with unbounded exponent
Alex Amenta, Jose M. Conde-Alonso, David Cruz-Uribe +1
We study the dual space of the variable Lebesgue space $\Lp$ with unbounded exponent function $\pp$ and provide an answer to a question posed in~[fiorenza-cruzuribe2013]. Our appro…
Sparse domination and the strong maximal function
Alex Barron, Jose M. Conde-Alonso, Yumeng Ou +1
We study the problem of dominating the dyadic strong maximal function by -type sparse forms based on rectangles with sides parallel to the axes, and show that such dominati…
BMO from dyadic BMO for nonhomogeneous measures
José M. Conde Alonso
The usual one third trick allows to reduce problems involving general cubes to a countable family. Moreover, this covering lemma uses only dyadic cubes, which allows to use nice ma…
Failure of boundedness of gradients of single layer potentials for measures with zero low density
José M. Conde-Alonso, Mihalis Mourgoglou, Xavier Tolsa
Consider a totally irregular measure in , that is, the upper density is positive -a.e.\ in , an…
A sparse domination principle for rough singular integrals
Jose M. Conde-Alonso, Amalia Culiuc, Francesco Di Plinio +1
We prove that bilinear forms associated to the rough homogeneous singular integrals on , where the angular part has vanishing average and $1…
Nondoubling Calderón-Zygmund theory -a dyadic approach-
Jose M. Conde Alonso, Javier Parcet
Given a measure of polynomial growth, we refine a deep result by David and Mattila to construct an atomic martingale filtration of which provides the right f…
Weighted bounds for multilinear operators with non-smooth kernels
The Anh Bui, Jose M. Conde-Alonso, Xuan Thinh Duong +1
Let be a multilinear integral operator which is bounded on certain products of Lebesgue spaces on . We assume that its associated kernel satisfies some mild regula…
Operator-valued dyadic harmonic analysis beyond doubling measures
José M. Conde-Alonso, Luis Daniel López-Sánchez
We obtain a complete characterization of the weak-type for Haar shift operators in terms of generalized Haar systems adapted to a Borel measure in the operator-valued s…
A pointwise estimate for positive dyadic shifts and some applications
Jose M. Conde-Alonso, Guillermo Rey
We prove a pointwise estimate for positive dyadic shifts of complexity which is linear in the complexity. This can be used to give a pointwise estimate for Calderón-Zygmund ope…
Large BMO spaces vs interpolation
Jose M. Conde-Alonso, Tao Mei, Javier Parcet
In this paper we introduce a class of BMO spaces which interpolate with and are sufficiently large to serve as endpoints for new singular integral operators. More precisely,…
Atomic blocks for noncommutative martingales
Jose M. Conde-Alonso, Javier Parcet
Given a probability space , the Hardy space which is associated to the martingale square function does not admit a classical atomic decomposition when th…