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The Fefferman–Stein Type Inequalities for Strong and Directional Maximal Operators in the Plane

Published online by Cambridge University Press:  20 November 2018

Hiroki Saito  and
Hitoshi Tanaka
Hiroki Saito
Affiliation:
Academic support center, Kogakuin University, 2665–1, Nakanomachi, Hachioji-shi Tokyo, 192–0015, Japan, e-mail: j1107703@gmail.com
Hitoshi Tanaka
Affiliation:
Research and Support Center on Higher Education for the hearing and Visually Impaired, National University Corporation Tsukuba University of Technology, Kasuga 4-12-6, Tsukuba City, Ibaraki, 305-8521 Japan, e-mail: htanaka@k.tsukuba-tech.ac.jp
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Abstract

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The Fefferman–Stein type inequalities for strongmaximal operators and directional maximal operators are verified with an additional composition of the Hardy–Littlewood maximal operator in the plane.

Keywords

42B2542B35directional maximal operatorFefferman-Stein type inequalityHardy-Littlewood maximal operatorstrong maximal operator
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 1 , 01 March 2018 , pp. 191 - 200
Copyright
Copyright © Canadian Mathematical Society 2018

References

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