Cover Image

A sharp estimate for the Hilbert transform along finite order lacunary sets of directions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Di Plinio, Francesco, Parissis, Ioannis
Format:	Preprint
Published:	2017
Subjects:	Classical Analysis and ODEs 42B20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Singular integrals along lacunary directions in $\mathbb{R}^n$
by: Accomazzo, Natalia, et al.
Published: (2019)

On the maximal directional Hilbert transform in three dimensions
by: Di Plinio, Francesco, et al.
Published: (2017)

Maximal directional operators along algebraic varieties
by: Di Plinio, Francesco, et al.
Published: (2018)

Pointwise localization and sharp weighted bounds for Rubio de Francia square functions
by: Di Plinio, Francesco, et al.
Published: (2023)

Singular integrals along variable codimension one subspaces
by: Bakas, Odysseas, et al.
Published: (2022)

Maximal subspace averages
by: Di Plinio, Francesco, et al.
Published: (2021)

Singular multipliers on multiscale Zygmund sets
by: Bakas, Odysseas, et al.
Published: (2024)

A metric approach to sparse domination
by: Alonso, José M. Conde, et al.
Published: (2020)

Weighted estimates for lacunary maximal functions on homogeneous groups
by: Ghosh, Abhishek, et al.
Published: (2024)

Asymptotically sharp reverse Hölder inequalities for flat Muckenhoupt weights
by: Parissis, Ioannis, et al.
Published: (2016)

Hilbert transforms and maximal functions along flat curves on the Heisenberg group
by: Zhang, Lingxiao
Published: (2024)

Rellich identities for the Hilbert transform
by: Carro, María J., et al.
Published: (2024)

Tauberian constants associated to centered translation invariant density bases
by: Hagelstein, Paul A., et al.
Published: (2017)

Some sharp $L^2 \to L^p$ decay estimates for $(2+1)$-dimensional degenerate oscillatory integral operators
by: Xu, Shaozhen
Published: (2024)

Endpoint estimates for higher order Marcinkiewicz multipliers
by: Bakas, Odysseas, et al.
Published: (2024)

Endpoint estimates for higher order Gaussian Riesz transforms
by: Berra, Fabio, et al.
Published: (2024)

$L^p$-estimates for singular integral operators along codimension one subspaces
by: Flórez-Amatriain, Mikel
Published: (2025)

Multilinear paraproducts on Sobolev spaces
by: Di Plinio, Francesco, et al.
Published: (2024)

Dimension-free $L^p$ estimates for higher order maximal Riesz transforms in terms of the Riesz transforms
by: Kucharski, Maciej, et al.
Published: (2023)

Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions
by: Wan, Renhui
Published: (2023)

A degree one Carleson operator along the paraboloid
by: Becker, Lars
Published: (2023)

Smoothness of extremizers for certain inequalities of the Radon transform
by: Flock, Taryn C.
Published: (2025)

Heat kernel estimates, fractional Riesz transforms and applications on exterior domains
by: Jiang, Renjin, et al.
Published: (2025)

On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms
by: Kucharski, Maciej, et al.
Published: (2025)

$L^{p}-$estimates for uncentered spherical averages and lacunary maximal functions
by: Bhojak, Ankit, et al.
Published: (2023)

Discrete Double Hilbert Transforms Along Polynomial Surfaces
by: Kim, Joonil, et al.
Published: (2022)

Zygmund dilations: bilinear analysis and commutator estimates
by: Airta, Emil, et al.
Published: (2023)

Weighted Lorentz spaces: sharp mixed $A_p-A_{\infty}$ estimate for maximal functions
by: Accomazzo, Natalia, et al.
Published: (2021)

An endpoint estimate for the maximal Calderón commutator with rough kernel
by: Hu, Guoen, et al.
Published: (2024)

Almost-orthogonality principles for certain directional maximal functions
by: Kim, Jongchon
Published: (2020)

Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates
by: Chen, Mingfeng, et al.
Published: (2024)

$L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform
by: Mair, Adam
Published: (2024)

Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels
by: Sato, Shuichi
Published: (2026)

Helical maximal function and weighted estimates
by: Ghosh, Abhishek, et al.
Published: (2026)

Improved endpoint bounds for the lacunary spherical maximal operator
by: Cladek, Laura, et al.
Published: (2017)

The missing proof of Paley's theorem about lacunary coefficients
by: Fournier, John J. F.
Published: (2014)

Maximal estimates for averages over degenerate hypersurfaces
by: Oh, Sewook
Published: (2025)

A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform"
by: Hsu, Martin, et al.
Published: (2023)

On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane
by: Li, Wenjuan, et al.
Published: (2023)

Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces
by: Cao, Zhenbin, et al.
Published: (2024)