Sparse bounds for Bochner–Riesz multiplers
Lacey, Michael T.
Mena Arias, Darío Alberto
Reguera, Maria Carmen
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The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the Bochner–Riesz conjecture in dimensions n≥3. In dimension n=2, we prove a sharp range of sparse bounds. The method of proof is based upon a ‘single scale’ analysis, and yields the sharpest known weighted estimates for the Bochner–Riesz multipliers in the category of Muckenhoupt weights.
External link to the item10.1007/s00041-017-9590-2
- Matemática