A remark on two weight estimates for positive dyadic operators
By Sergei Treil. 2012
52 citations recorded by the source corpus.
We give a simple proof of the Sawyer type characterization of the two weight estimate for positive dyadic operators (also known as the bilinear embedding theorem).
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/74e79b4458683074a1b24b03dcd64d722f3a84cd
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In Applied Mathematics
- D. Cruz-Uribe
- M. Reguera
- Sandra Pott
- Alexandru Aleman
- Tuomas Hytönen
- Andrei K. Lerner
- Kabe Moen
- C. P'erez
Citations in the corpus
- Two weight norm inequalities for fractional integral operators and commutators (2014, background): “[71] F. Nazarov and S. Treil.”
- Sarason Conjecture on the Bergman space (2013, methodology): “ependent of the chosen collection. So from now on Tf = X Q∈Q τQ(EQf)1Q It is enough to prove boundedness of the bilinear form hT(wf),gσi, where 0 ≤f ∈Lp(w) and 0 ≤g ∈Lp′(σ). Following the argument in [42], we seek an estimate of the form (3.21) hT(wf),gσi≤AkfkLp(w)kgkLp′(σ) +Bkfk p Lp(w). We first di”