Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
From MaRDI portal
Publication:1085370
DOI10.5802/aif.1127zbMath0607.42009OpenAlexW2320092159MaRDI QIDQ1085370
Publication date: 1988
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_1_157_0
Related Items (21)
Maximal functions with polynomial densities in lacunary directions ⋮ Kakeya-type sets over Cantor sets of directions in \(\mathbb {R}^{d+1}\) ⋮ An almost-orthogonality principle with applications to maximal functions associated to convex bodies ⋮ Homogeneous Fourier multipliers of Marcinkiewicz type ⋮ \(L^2\) bounds for a maximal directional Hilbert transform ⋮ Maximal functions along convex curves with lacunary directions ⋮ Bootstrap methods in bounding discrete Radon operators ⋮ Paraproducts for bilinear multipliers associated with convex sets ⋮ Weighted estimates for conic Fourier multipliers ⋮ The Marcinkiewicz multiplier theorem revisited ⋮ Singular integrals along lacunary directions in \(\mathbb{R}^n\) ⋮ Multiparameter singular integrals and maximal functions ⋮ Differentiation of integrals in higher dimensions ⋮ Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2 ⋮ Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement ⋮ Almost-orthogonality principles for certain directional maximal functions ⋮ A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type ⋮ An improvement of the Marcinkiewicz multiplier theorem ⋮ A bootstrapping approach to jump inequalities and their applications ⋮ Maximal directional operators along algebraic varieties ⋮ On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
Cites Work
- Unnamed Item
- Variants of the Calderón-Zygmund theory for \(L^ p\)-spaces
- Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
- An almost-orthogonality principle with applications to maximal functions associated to convex bodies
- Differentiation in lacunary directions
This page was built for publication: Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
