Browsing by Author "Lerner, Andrei K."
Now showing items 1-5 of 5
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Article
A new characterization of the Muckenhoupt Ap weights through an extension of the Lorentz-Shimogaki theorem
(Indiana University, 2007)Given any quasi-Banach function space X over Rn it is defined an index αX that coincides with the upper Boyd index αX when ...
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Article
A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
(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
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
(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
Sharp weighted bounds for multilinear maximal functions and Calderón-Zygmund operators
(Springer, 2015-02)In this paper we prove some sharp weighted norm inequalities for the multi(sub)linear maximal function M introduced in ...
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Article
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden
(Springer, 2009-06)A well known open problem of Muckenhoupt-Wheeden says that any Calderón-Zygmund singular integral operator T is of weak ...