Work

Endpoint mapping properties of spherical maximal operators

Year: 2002

Type: preprint

Abstract: For a function $f\in L^p(\Bbb R^d)$, $d\ge 2$, let $A_t f(x)$ be the mean of $f$ over the sphere of radius $t$ centered at $x$. Given a set $E\subset (0,\infty)$ of dilations we prove endpoint bounds for the maximal operator $M_E$ defined by $M_E f(x)=\sup_{t\in E} |A_t f(x)|$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0205153

Authors: Seeger, Andreas, Tao, Terence, Wright, James

Institutions: University of Wisconsin–Madison, University of California, Los Angeles, University of Edinburgh

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950334138

Cites: 12

Cited by: 1

Related to: 20