An endpoint estimate for product singular integral operators on stratified lie groups

Michael G. Cowling; Ming-Yi Lee; Ji Li; Jill Pipher

doi:10.4153/S0008414X25000057

An endpoint estimate for product singular integral operators on stratified lie groups

Michael G. Cowling, Ming-Yi Lee, Ji Li, Jill Pipher

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We establish hyperweak boundedness of area functions, square functions, maximal operators and Calderón-Zygmund operators on products of two stratified Lie groups.

Original language	English
Number of pages	32
Journal	Canadian Journal of Mathematics
DOIs	https://doi.org/10.4153/S0008414X25000057
Publication status	E-pub ahead of print - 27 Jan 2025

Keywords

L log L
Strong maximal function
atomic decomposition

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10.4153/S0008414X25000057Licence: CC BY-NC-ND

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title = "An endpoint estimate for product singular integral operators on stratified lie groups",

abstract = "We establish hyperweak boundedness of area functions, square functions, maximal operators and Calder{\'o}n-Zygmund operators on products of two stratified Lie groups.",

keywords = "L log L, Strong maximal function, atomic decomposition",

author = "Cowling, \{Michael G.\} and Ming-Yi Lee and Ji Li and Jill Pipher",

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language = "English",

journal = "Canadian Journal of Mathematics",

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T1 - An endpoint estimate for product singular integral operators on stratified lie groups

AU - Cowling, Michael G.

AU - Lee, Ming-Yi

AU - Li, Ji

AU - Pipher, Jill

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Y1 - 2025/1/27

N2 - We establish hyperweak boundedness of area functions, square functions, maximal operators and Calderón-Zygmund operators on products of two stratified Lie groups.

AB - We establish hyperweak boundedness of area functions, square functions, maximal operators and Calderón-Zygmund operators on products of two stratified Lie groups.

KW - L log L

KW - Strong maximal function

KW - atomic decomposition

UR - https://www.scopus.com/pages/publications/85216802856

U2 - 10.4153/S0008414X25000057

DO - 10.4153/S0008414X25000057

M3 - Article

SN - 0008-414X

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

ER -

An endpoint estimate for product singular integral operators on stratified lie groups

Abstract

Keywords

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