Cover Image

Quantitative Besicovitch projection theorem for irregular sets of directions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Dąbrowski, Damian
Format:	Preprint
Published:	2022
Subjects:	Classical Analysis and ODEs 28A75 (primary) 28A78 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Favard length and quantitative rectifiability
by: Dąbrowski, Damian
Published: (2024)

Visible parts and slices of Ahlfors regular sets
by: Dąbrowski, Damian
Published: (2023)

An invitation to dimension interpolation
by: Fraser, Jonathan M.
Published: (2026)

A Fourier analytic approach to exceptional set estimates for orthogonal projections
by: Fraser, Jonathan M., et al.
Published: (2024)

Applications of dimension interpolation to orthogonal projections
by: Fraser, Jonathan M.
Published: (2025)

Fourier decay of product measures
by: Fraser, Jonathan M.
Published: (2024)

Structure of sets with nearly maximal Favard length
by: Chang, Alan, et al.
Published: (2022)

Marstrand's density theorem for arbitrary norms in the plane
by: Del Nin, Giacomo, et al.
Published: (2025)

Multiple convolutions and multilinear fractal Fourier extension estimates
by: Oliveira, Itamar, et al.
Published: (2026)

Dominated sets, microscopic sets and Hausdorff measures
by: Zindulka, Ondřej, et al.
Published: (2026)

On the dimension of $s$-Nikodým sets
by: Dąbrowski, Damian, et al.
Published: (2024)

The Fourier spectrum and sumset type problems
by: Fraser, Jonathan M.
Published: (2022)

$L^2$ restriction estimates from the Fourier spectrum
by: Carnovale, Marc, et al.
Published: (2024)

Progress in Projection Theory and other dimensional developments
by: Bright, Paige
Published: (2025)

Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
by: Shmerkin, Pablo, et al.
Published: (2022)

Nonempty interior of configuration sets via microlocal partition optimization
by: Greenleaf, Allan, et al.
Published: (2022)

$L^p$ averages of the discrete Fourier transform and applications
by: Fraser, Jonathan M., et al.
Published: (2025)

Full measure universality for Cantor Sets
by: Shmerkin, Pablo, et al.
Published: (2025)

A Continuum Beck-type Theorem for Hyperplanes
by: Bright, Paige, et al.
Published: (2025)

On Hausdorff dimensions of $k$-point configuration sets and Elekes-Rónyai type theorems
by: Pham, Minh-Quy
Published: (2026)

Self-similar sets and Lipschitz graphs
by: Davey, Blair, et al.
Published: (2024)

A study guide for "On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" after T. Orponen and P. Shmerkin
by: Fiedler, Jacob B., et al.
Published: (2024)

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve
by: Duan, Shengze, et al.
Published: (2024)

On the projections of almost Ahlfors regular sets
by: Orponen, Tuomas, et al.
Published: (2024)

Vertical projections in the Heisenberg group for sets of dimension greater than 3
by: Harris, Terence L. J.
Published: (2023)

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
by: Orponen, Tuomas, et al.
Published: (2021)

Lipschitz decompositions of domains with bilaterally flat boundaries
by: Krandel, Jared
Published: (2022)

Pinned Dot Product Set Estimates
by: Bright, Paige, et al.
Published: (2024)

Spread Furstenberg Sets
by: Bright, Paige, et al.
Published: (2024)

Fourier restriction for the additive Brownian sheet
by: Fraser, Jonathan M., et al.
Published: (2026)

High-low method and $p$-adic Furstenberg set over the plane
by: Ren, Kevin, et al.
Published: (2025)

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
by: Marshall, Caleb
Published: (2025)

Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers
by: Krandel, Jared
Published: (2024)

An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem
by: Kominers, Scott Duke
Published: (2026)

Length of sets under restricted families of projections onto lines
by: Harris, Terence L. J.
Published: (2022)

A note on higher integrability of projections
by: Orponen, Tuomas
Published: (2025)

A Continuum Erdős-Beck Theorem
by: Bright, Paige, et al.
Published: (2024)

Analytic capacity and dimension of sets with plenty of big projections
by: Dąbrowski, Damian, et al.
Published: (2022)

Sharpness of convolution bounds for measures
by: Lee, Sanghyuk, et al.
Published: (2026)

On Falconer type functions and the distance set problem
by: Pham, Minh-Quy
Published: (2025)