[BOOK][B] Weights, extrapolation and the theory of Rubio de Francia
This book provides a systematic development of the Rubio de Francia theory of
extrapolation, its many generalizations and its applications to one and two-weight norm …
extrapolation, its many generalizations and its applications to one and two-weight norm …
Sharp weighted bounds involving A∞
The weights w for which the usual operators T of classical analysis (like the Hardy–
Littlewood maximal operator, the Hilbert transform, and general classes of Calderón …
Littlewood maximal operator, the Hilbert transform, and general classes of Calderón …
Extrapolation of weights revisited: new proofs and sharp bounds
J Duoandikoetxea - Journal of Functional Analysis, 2011 - Elsevier
We use an appropriate factorization of the Ap weights to give another proof of the
extrapolation theorem of Rubio de Francia. It provides sharp bounds in terms of the Ap …
extrapolation theorem of Rubio de Francia. It provides sharp bounds in terms of the Ap …
Extrapolation of compactness on weighted spaces
Let T be a linear operator that, for some p1 2. 1; 1/, is bounded on Lp1. Qw/for all Qw 2 Ap1.
Rd/and in addition compact on Lp1. w1/for some w1 2 Ap1. Rd/. Then T is bounded and …
Rd/and in addition compact on Lp1. w1/for some w1 2 Ap1. Rd/. Then T is bounded and …
Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
T Chen, W Sun - Mathematische Annalen, 2021 - Springer
Abstract In Kenig and Stein (Math Res Lett 6 (1): 1–15, 1999, https://doi. org/10.4310/MRL.
1999. v6. n1. a1), the following type of multilinear fractional integral ∫ _ R^ mn f_1 (l_1 (x_1 …
1999. v6. n1. a1), the following type of multilinear fractional integral ∫ _ R^ mn f_1 (l_1 (x_1 …
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
We present a unified method to obtain unweighted and weighted estimates of linear and
multilinear commutators with BMO functions, that is amenable to a plethora of operators and …
multilinear commutators with BMO functions, that is amenable to a plethora of operators and …
Dyadic harmonic analysis and weighted inequalities: the sparse revolution
MC Pereyra - New Trends in Applied Harmonic Analysis, Volume 2 …, 2019 - Springer
We will introduce the basics of dyadic harmonic analysis and how it can be used to obtain
weighted estimates for classical Calderón–Zygmund singular integral operators and their …
weighted estimates for classical Calderón–Zygmund singular integral operators and their …
Two weight inequalities for discrete positive operators
MT Lacey, ET Sawyer, I Uriarte-Tuero - ar** properties. Special …
Sharp weighted bounds without testing or extrapolation
K Moen - Archiv der Mathematik, 2012 - Springer
We give a short proof of the sharp weighted bound for sparse operators that holds for all p,
1< p<∞. By recent developments this implies the bounds hold for any Calderón–Zygmund …
1< p<∞. By recent developments this implies the bounds hold for any Calderón–Zygmund …
One and two weight norm inequalities for Riesz potentials
SFO David Cruz-Uribe, K Moen - Illinois Journal of Mathematics, 2013 - projecteuclid.org
We consider weighted norm inequalities for the Riesz potentials $ I_ {\alpha} $, also referred
to as fractional integral operators. First, we prove mixed $ A_ {p}\mbox {-} A_ {\infty} $ type …
to as fractional integral operators. First, we prove mixed $ A_ {p}\mbox {-} A_ {\infty} $ type …