Dimension-free estimates for the vector-valued variational operators

Danqing He; Guixiang Hong; Wei Liu

doi:10.1515/forum-2019-0142

Dimension-free estimates for the vector-valued variational operators

Danqing He
, Guixiang Hong
, Wei Liu^*

^*Corresponding author for this work

Fudan University
Wuhan University

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

3 Scopus citations

Abstract

In this paper, we study dimension-free L p {L^{p}} estimates for UMD lattice-valued q-variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.

Original language	English
Pages (from-to)	381-391
Number of pages	11
Journal	Forum Mathematicum
DOIs	https://doi.org/10.1515/forum-2019-0142
State	Published - 2019
Externally published	Yes

Keywords

UMD lattice
Variation inequalities
averaging operators
dimension-free

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title = "Dimension-free estimates for the vector-valued variational operators",

abstract = "In this paper, we study dimension-free L p \{L\textasciicircum{}\{p\}\} estimates for UMD lattice-valued q-variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.",

keywords = "UMD lattice, Variation inequalities, averaging operators, dimension-free",

author = "Danqing He and Guixiang Hong and Wei Liu",

note = "Publisher Copyright: {\textcopyright} 2019 Walter de Gruyter GmbH, Berlin/Boston 2019.",

year = "2019",

doi = "10.1515/forum-2019-0142",

language = "英语",

pages = "381--391",

journal = "Forum Mathematicum",

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publisher = "Walter de Gruyter GmbH",

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T1 - Dimension-free estimates for the vector-valued variational operators

AU - He, Danqing

AU - Hong, Guixiang

AU - Liu, Wei

PY - 2019

Y1 - 2019

N2 - In this paper, we study dimension-free L p {L^{p}} estimates for UMD lattice-valued q-variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.

AB - In this paper, we study dimension-free L p {L^{p}} estimates for UMD lattice-valued q-variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.

KW - UMD lattice

KW - Variation inequalities

KW - averaging operators

KW - dimension-free

UR - https://www.scopus.com/pages/publications/85074914902

U2 - 10.1515/forum-2019-0142

DO - 10.1515/forum-2019-0142

M3 - 文章

AN - SCOPUS:85074914902

SN - 0933-7741

SP - 381

EP - 391

JO - Forum Mathematicum

JF - Forum Mathematicum

ER -

Dimension-free estimates for the vector-valued variational operators

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Keywords

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