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pro vyhledávání: '"Alonso, Jose M. Conde"'
We study $L^p(\mu)$ estimates for the commutator $[H,b]$, where the operator $H$ is a dyadic model of the classical Hilbert transform introduced in \cite{arXiv:2012.10201,arXiv:2212.00090} and is adapted to a non-doubling Borel measure $\mu$ satisfyi
Externí odkaz:
http://arxiv.org/abs/2409.01155
Publikováno v:
Ann. Mat. Pura Appl. (4)201(2022), no.4, 1639--1675
We present a general approach to sparse domination based on single-scale $L^p$-improving as a key property. The results are formulated in the setting of metric spaces of homogeneous type and avoid completely the use of dyadic-probabilistic techniques
Externí odkaz:
http://arxiv.org/abs/2009.00336
Autor:
Alonso, José M. Conde
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 martingale properties in harmonic analysis problems. We consider alterna
Externí odkaz:
http://arxiv.org/abs/1806.10376
Autor:
Alonso, Jose M. Conde, Parcet, Javier
Given a measure $\mu$ of polynomial growth, we refine a deep result by David and Mattila to construct an atomic martingale filtration of $\mathrm{supp}(\mu)$ which provides the right framework for a dyadic form of nondoubling harmonic analysis. Despi
Externí odkaz:
http://arxiv.org/abs/1604.03711