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Maximal functions for multipliers on stratified groups
Author(s) -
Choi Woocheol
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300305
Subject(s) - mathematics , multiplier (economics) , pure mathematics , product (mathematics) , heisenberg group , upper and lower bounds , joint (building) , discrete mathematics , mathematical analysis , geometry , architectural engineering , engineering , economics , macroeconomics
In this paper we obtain a refined L p bound for maximal functions of the multiplier operators on stratified groups and maximal functions of the multi‐parameter multipliers on product spaces of stratified groups. As an application we find a refined L p bound for maximal functions of joint spectral multipliers on Heisenberg group.