Extrapolation from A∞ weights and applications

By D. Cruz-Uribe, J. M. Martell, C. P'erez. 2004

175 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8cc7f172e031980572573ba5ea29ef7ad2e6cb7a

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In Applied Mathematics

Citations in the corpus

Weighted inequalities for multilinear fractional integral operators (2009, methodology): “See CruzUribe, Martell, and Pérez, [4], for further references and historical remarks.”
Extrapolation and weighted norm inequalities in the variable Lebesgue spaces (2014, background): “we take p(·) ∈ LH, then it is enough to assume wp0 ∈ A p(·)/p0. SExtrapolation can also be applied to inequalities governed by the larger class A∞ = p>1 Ap. The following result was ﬁrst proved in [17]. Theorem 2.23. If for some p0 > 0 and every w0 ∈ A∞, (2.16) Z Rn f(x)p0w 0(x)dx ≤ C Z Rn g(x”
Operators of harmonic analysis in weighted spaces with non-standard growth (2008, unknown): “Proving this version we develop some ideas and approaches of papers [10], [12].”
Weighted norm inequalities for multilinear Fourier multipliers (2012, background): “For example, see Cruz-Uribe, Martell and Pérez [5], Grafakos and Torres [10], Hu and Yang [11], Lerner, Ombrosi, Pérez, Torres and Trujillo-González [14], and Maldonado and Naibo [15] for this direction.”
Quasi-Banach Valued Inequalities via the Helicoidal method (2016, background): “tion and of the maximal function in the one-parameter study of paraproducts. Otherwise, multiple vector-valued inequalities for multilinear Calder´on-Zygmund operators can be obtained as in [GM04] or [CUMP04] by extrapolation, from weighted estimates. The bilinear Hilbert transform is an operator gi”
THE BOUNDEDNESS OF CLASSICAL OPERATORS ON VARIABLE L p SPACES (2006, methodology): “8 begins with a version of a construction due to Rubio de Francia [38] (also see [11], [21]).”
Two weight norm inequalities for fractional integral operators and commutators (2014, methodology): “The original proof of this result by Muckenhoupt and Wheeden [67] used a good-λ inequality; another proof using sharp maximal function estimates and extrapolation was given in [17] (see also [21, Chapter 9]).”
On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights (2016, background): “In fact, such an extension is mentioned in [12] without a proof.”
Extrapolation of Weighted norm inequalities for multivariable operators and applications (2004, result): “These vector-valued inequalities can be independently proved using some extrapolation results obtained in [5].”