Directional square functions
From MaRDI portal
Publication:6185901
DOI10.2140/apde.2023.16.1651zbMath1530.42021arXiv2004.06509OpenAlexW3016356691MaRDI QIDQ6185901
Paul Alton Hagelstein, Ioannis Parissis, Francesco Di Plinio, Natalia Accomazzo, Luz Roncal
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06509
directional square functionsdirectional operatorsdirectional Carleson embedding theoremspolygon multiplierRubio de Francia inequalities
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Logarithmic \(L^p\) bounds for maximal directional singular integrals in the plane
- Weighted norm inequalities for oscillatory integrals with finite type phases on the line
- Wolff's inequality for hypersurfaces
- A Littlewood-Paley inequality for arbitrary intervals
- Calderón-Zygmund operators on product spaces
- Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
- Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets
- A note on Bochner-Riesz operators
- Geometric Fourier analysis
- The multiplier problem for the polygon
- A local smoothing estimate in higher dimensions.
- Square functions for bi-Lipschitz maps and directional operators
- Maximal operators over arbitrary sets of directions
- The proof of the \(l^2\) decoupling conjecture
- The multiplier problem for the ball
- A note on spherical summation multipliers
- Maximal averages along a planar vector field depending on one variable
- Singular integrals along 𝑁 directions in ℝ²
- Directional maximal operators and lacunarity in higher dimensions
- L p regularity of averages over curves and bounds for associated maximal operators
- On a conjecture of E. M. Stein on the Hilbert transform on vector fields
- Differentiation in lacunary directions
- Weighted Norm Inequalities for Singular Integral Operators
- A weak–type orthogonality principle
- Sharp weighted bounds for the q -variation of singular integrals
- Maximal directional operators along algebraic varieties
- Maximal theorems for the directional Hilbert transform on the plane
This page was built for publication: Directional square functions