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Browsing by Author "Ombrosi, Sheldy J."
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Article
A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
Lerner, Andrei K.; Ombrosi, Sheldy J.; Pérez Moreno, Carlos (International Press, 2009)We obtain an Lp(w) bound for Calderón-Zygmund operators T when w ∈ A1. This bound is sharp both with respect to ∥w∥A1 and with respect to p. As a result, we get a new L1,∞(w) estimate for T related to a problem of Muckenhoupt and Wheeden.
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Article
Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
Ombrosi, Sheldy J.; Pérez Moreno, Carlos (Uniwersytetu i Politechniki, 2016)In this paper we study mixed weighted weak-type inequalities for families of functions, which can be applied to study ...
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Article
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
Lerner, Andrei K.; Ombrosi, Sheldy J.; Pérez Moreno, Carlos; Torres, Rodolfo H.; Trujillo González, Rodrigo Francisco (Elsevier, 2009-03-01)A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product ...
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Article
Quantitative weighted mixed weak-type inequalities for classical operators
Ombrosi, Sheldy J.; Pérez Moreno, Carlos; Recchi, Diana Jorgelina (Indiana University, 2016)We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund ...
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Article
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden
Lerner, Andrei K.; Ombrosi, Sheldy J.; Pérez Moreno, Carlos (Springer, 2009-06)A well known open problem of Muckenhoupt-Wheeden says that any Calderón-Zygmund singular integral operator T is of weak ...