Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
By D. Cruz-Uribe, L. Wang. 2014
134 citations recorded by the source corpus.
We extend the theory of Rubio de Francia extrapolation, including off-diagonal, limited range, and $A_{\infty}$ extrapolation, to the weighted variable Lebesgue spaces. As a consequence we are able to show that a number of different operators from harmonic analysis are bounded on these spaces. The proofs of our extrapolation results are developed in a way that outlines a general approach to proving extrapolation theorems on other Banach function spaces.
Subfields: Applied Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/8d60e342486ac8c00137bd81eafb50ba1947f0f2
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In Applied Mathematics
- D. Cruz-Uribe
- P. Hasto
- Dachun Yang
- Ciqiang Zhuo
- Wen Yuan
- Andrei K. Lerner
- Kwok-Pun Ho
- Petteri Harjulehto
In Mechanics of Materials
Citations in the corpus
- Extrapolation and interpolation in generalized Orlicz spaces (2018, background): “In the particular case of the variable Lebesgue spaces, this was proved very recently in [22].”
- Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications (2019, unknown): “( [6]) Given p(·) ∈ P and a weight v ∈ Lp(·) loc (Rn) , then Lc (Rn) , the set of all bounded functions with compact support, is dense in Lp(·) v (Rn) .”