Sharp weighted bounds without testing or extrapolation
- Kabe Moen
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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 operator. The novelty of our approach is that we avoid two techniques that are present in other proofs: two weight inequalities and extrapolation. Our techniques are applicable to fractional integral operators as well.
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- Sharp weighted bounds without testing or extrapolation
Archiv der Mathematik
Volume 99, Issue 5 , pp 457-466
- Cover Date
- Print ISSN
- Online ISSN
- SP Birkhäuser Verlag Basel
- Additional Links
- Calderón–Zygmund operators
- Riesz potentials
- A p weights
- Industry Sectors
- Kabe Moen (1)
- Author Affiliations
- 1. Department of Mathematics, University of Alabama, Tuscaloosa, AL, 35487-0350, USA