Bounds for lacunary bilinear spherical and triangle maximal functions
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Publication:6632431
DOI10.1007/S00041-024-10115-WMaRDI QIDQ6632431
Benjamin Foster, Tainara Borges
Publication date: 4 November 2024
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
coarea formulaspherical averagelacunary maximal functionbilinear averaging operatorhigh-low decomposition
Maximal functions, Littlewood-Paley theory (42B25) Lacunary series of trigonometric and other functions; Riesz products (42A55)
Cites Work
- Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators
- Endpoint inequalities for spherical multilinear convolutions
- Bilinear spherical maximal function
- On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
- Maximal operators associated with bilinear multipliers of limited decay
- Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions
- Improved bounds for the bilinear spherical maximal operators
- The triangle averaging operator
- \(L^2\times L^2 \rightarrow L^1\) boundedness criteria
- Multilinear generalized Radon transforms and point configurations
- Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension
- Restricted convolution inequalities, multilinear operators and applications
- \(L^p\) estimates for bilinear generalized Radon transforms in the plane
- Multilinear Convolutions Defined by Measures on Spheres
- Maximal functions: Spherical means
- Maximal operators associated to Fourier multipliers with an arbitrary set of parameters
- Pointwise convergence of spherical means
- Lp estimates for multilinear convolution operators defined with spherical measure
- Classical Fourier Analysis
- Sparse bounds for the bilinear spherical maximal function
- A class of singular bilinear maximal functions
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