Sparse bounds for the bilinear spherical maximal function

DOI10.1112/jlms.12715arXiv2203.13303OpenAlexW4317211083MaRDI QIDQ6176467

Jill Pipher, Yumeng Ou, Zirui Zhou, Tainara Borges, Benjamin Foster

Publication date: 23 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13303

zbMATH Keywords

sparse dominationbilinear Muckenhoupt weightssingle-scale bilinear spherical averaging operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (1)

Bilinear maximal functions associated with degenerate surfaces

Cites Work

• Unnamed Item
• A pointwise estimate for positive dyadic shifts and some applications
• An elementary proof of the \(A_{2}\) bound
• Sharp weighted norm estimates beyond Calderón-Zygmund theory
• Averages in the plane over convex curves and maximal operators
• Sparse bounds for Bochner-Riesz multipliers
• On trilinear oscillatory integrals
• Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• Endpoint inequalities for spherical multilinear convolutions
• Local smoothing estimates related to the circular maximal theorem
• Bilinear spherical maximal function
• On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
• Sparse domination via the helicoidal method
• Bilinear spherical maximal functions of product type
• Sparse domination of Hilbert transforms along curves
• Sparse bounds for maximal rough singular integrals via the Fourier transform
• Maximal operators associated with bilinear multipliers of limited decay
• Sparse bounds for pseudodifferential operators
• Sparse domination of singular Radon transform
• Improved bounds for the bilinear spherical maximal operators
• Sparse bounds for spherical maximal functions
• Intuitive dyadic calculus: the basics
• Multilinear generalized Radon transforms and point configurations
• A sparse domination principle for rough singular integrals
• Weighted estimates for rough bilinear singular integrals via sparse domination
• Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension
• Restricted convolution inequalities, multilinear operators and applications
• \(L^p \rightarrow L^q\) bounds for spherical maximal operators
• Multilinear Convolutions Defined by Measures on Spheres
• Restriction of Fourier transforms to curves and related oscillatory integrals
• Maximal functions: Spherical means
• Sparse bilinear forms for Bochner Riesz multipliers and applications
• Domination of multilinear singular integrals by positive sparse forms
• Endpoint estimates for the circular maximal function
• Lp estimates for multilinear convolution operators defined with spherical measure
• A Simple Proof of the A2 Conjecture
• Sparse Bounds for a Prototypical Singular Radon Transform
• A generalization of Bourgain’s circular maximal theorem

This page was built for publication: Sparse bounds for the bilinear spherical maximal function