Sparse bilinear forms for Bochner Riesz multipliers and applications

Abstract

We use the very recent approach developed by Lacey in [23] and extended by Bernicot-Frey-Petermichl in [3], in order to control Bochner-Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector-valued inequalities are deduced.

Cited by in corpus (12)

• A sparse domination principle for rough singular integrals
• Domination of multilinear singular integrals by positive sparse forms
• A class of multilinear bounded oscillation operators on measure spaces and applications
• Sparse Bounds for Bochner-Riesz Multipliers
• Sparse Bounds for the Discrete Cubic Hilbert Transform
• Multi-scale sparse domination
• Sparse Endpoint Estimates for Bochner-Riesz Multipliers on the Plane
• $A_p$-$A_{\infty }$ estimates for multilinear maximal and sparse operators
• Sparse bounds for a prototypical singular Radon transform
• Vector-valued extensions of operators through multilinear limited range extrapolation
• Weak and strong type $A_1$-$A_{\infty }$ estimates for sparsely dominated operators
• Bochner-Riesz means at the critical index: Weighted and sparse bounds