An improved bound for Kakeya type maximal functions
type: Item
instance of: scholarly article
title: An improved bound for Kakeya type maximal functions
zbMATH Open document ID: 0848.42015
DOI: 10.4171/RMI/188
author: Thomas H. Wolff
published in: Revista Matemática Iberoamericana
publication date: 1996-02-22T00:00:00Z
full work available at URL: https://eudml.org/doc/39495
review text: In this fascinating paper the author establishes improved \(L^p\to L^q\) bounds for Kakeya and Besicovich type maximal functions. As one particular consequence of the estimates he obtains a new lower bound for the Hausdorff dimension \(\ell\) of the Kakeya set in \(\mathbb{R}^d\), namely \(\ell\geq (d+ 2)/2\).
reviewed by: Andreas Seeger
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 838780
zbMATH Keywords: Kakeya maximal function
zbMATH Keywords: Besicovich maximal function
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: Kakeya set
Wikidata QID: Q56341370
MaRDI profile type: Publication
OpenAlex ID: W1987786354
description: scientific article; zbMATH DE number 838780