Outer measures and weak type (1,1) estimates of Hardy-Littlewood maximal operators

Terasawa, Yutaka

Hokkaido University Preprint Series in Mathematics, 2004, 692, 1-13

Permalink : https://doi.org/10.14943/83843

このアイテムのアクセス数:761件（2026-10-18 03:16 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re692	pdf	104 KB	1,042

アクセス権	open access
DOI	https://doi.org/10.14943/83843
URI	https://hdl.handle.net/2115/69497
タイトル	Outer measures and weak type (1,1) estimates of Hardy-Littlewood maximal operators
著者	著者名 Terasawa, Yutaka
言語	英語
キーワード	Hardy-Littlewood maximal operator
	weak type (1
	1) estimate
	operator norm
	outer measure
発行日	2004
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	692
ページ	1-13
抄録	We will introduce the $k$ times modified centered and uncentered Hardy-Littlewood maximal operators on nonhomogeneous spaces for $k>0$. We will prove the $k$ times modified centered Hardy-Littlewood maximal operator is weak type $(1,1)$ bounded with constant $1$ when $k \ge 2$ if the Radon measure of the space has ``continuitiy'' in some sense. In the proof, we will use the outer measure associated with the Radon measure. We will also prove other results of Hardy-Littlewood maximal operators on homogeneous spaces and on the real line by using outer measures.
資源タイプ	紀要論文
出版タイプ	Version of Record