A Mattila-Sjölin theorem for simplices in low dimensions
From MaRDI portal
Publication:6663201
DOI10.1007/s00208-024-02948-zMaRDI QIDQ6663201
Francisco Romero Acosta, Eyvindur Ari Palsson
Publication date: 14 January 2025
Published in: Mathematische Annalen (Search for Journal in Brave)
Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Erd?s problems and related topics of discrete geometry (52C10) Hausdorff and packing measures (28A78)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Finite chains inside thin subsets of \(\mathbb{R}^d\)
- On sets of directions determined by subsets of \(\mathbb R^d\)
- A group-theoretic viewpoint on Erdös-Falconer problems and the Mattila integral
- Hausdorff dimension and distance sets
- Sur les distances des points des ensembles de mesure positive.
- An \(L^2\)-identity and pinned distance problem
- On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
- An improved result for Falconer's distance set problem in even dimensions
- Configuration sets with nonempty interior
- On Falconer's distance set problem in the plane
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- Multilinear generalized Radon transforms and point configurations
- Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension
- A Mattila-Sjölin theorem for triangles
- Multiparameter Projection Theorems with Applications to Sums-Products and Finite Point Configurations in the Euclidean Setting
- On the Mattila-Sjölin theorem for distance sets
- Erdös distance problem in vector spaces over finite fields
- On the Hausdorff dimensions of distance sets
- Regularity of Distance Measures and Sets
- Classical and Multilinear Harmonic Analysis
- An example related to the Erdos-Falconer question over arbitrary finite fields
- Multilinear maximal operators associated to simplices
- Fourier Analysis and Hausdorff Dimension
- Fourier transforms of surface-carried measures and differentiability of surface averages
- Weighted restriction estimates and application to Falconer distance set problem
- On k ‐point configuration sets with nonempty interior
- On the Mattila–Sjölin distance theorem for product sets
- On the pinned distances problem in positive characteristic
- Simplices in thin subsets of Euclidean spaces
- Nonempty interior of configuration sets via microlocal partition optimization
This page was built for publication: A Mattila-Sjölin theorem for simplices in low dimensions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6663201)