Modern harmonic analysis: singular integrals, maximal functions and Littlewood-Paley theory
, 2023 Se estudian las herramientas desarrolladas en la década de 1950 por Calderón y Zygmund, las cuales llevaron al nacimiento del análisis armónico moderno. Algunos de estos conceptos son la función maximal de Hardy-Littlewood junto con sus propiedades de acotación en espacios Lp, teoremas de interpolación y, sobre todo, la descomposición de Calderón y ...
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Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function
, 2019 We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. Quantitative weighted estimates are obtained for this operator.
Garg, R., Roncal, L., Shrivastava, S.
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, 2012 In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schr\"odinger and Laguerre operators acting on functions which take values in UMD Banach spaces.
Betancor, J. J. +3 more
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Square functions in the Hermite setting for functions with values in UMD spaces
, 2012 In this paper we characterize the Lebesgue Bochner spaces $L^p(\mathbb{R}^n,B ...
Betancor, Jorge J. +4 more
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The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Arch Ration Mech Anal, 2022 Disconzi MM, Ifrim M, Tataru D.
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Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 van Neerven J, Veraar M.
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Littlewood-Paley Theory for Triangle Buildings. [PDF]
J Geom Anal, 2018 Steger T, Trojan B.
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Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
J Inequal Appl, 2018 Xu J, Zhu J.
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Littlewood-Paley operators on Morrey spaces with variable exponent. [PDF]
ScientificWorldJournal, 2014 Tao S, Wang L.
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Differentiation of integrals in higher dimensions. [PDF]
Proc Natl Acad Sci U S A, 2013 Parcet J, Rogers KM.
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