On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Ming Yi Lee; Ji Li; Lesley A. Ward

doi:10.4064/sm8574-8-2016

On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Ming Yi Lee, Ji Li, Lesley A. Ward

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

Abstract

A classical theorem of Jones and Journé on weak-star convergence in the Hardy space H¹ was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).

Original language	English
Pages (from-to)	251-267
Number of pages	17
Journal	Studia Mathematica
Volume	235
Issue number	3
DOIs	https://doi.org/10.4064/sm8574-8-2016
Publication status	Published - 2016

Keywords

weak-star convergence
BMO
Hardy spaces
VMO
spaces of homogeneous type
multiparameter

Access to Document

10.4064/sm8574-8-2016

Fingerprint Dive into the research topics of 'On weak-star convergence in product Hardy spaces on spaces of homogeneous type'. Together they form a unique fingerprint.

1 Finished

Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals
Duong, X., Ward, L., Li, J., Lacey, M., Pipher, J. & MQRES, M.
16/02/16 → 30/06/20
Project: Research

Cite this

@article{98f462dfa1a141d59483cacb81f21de2,

title = "On weak-star convergence in product Hardy spaces on spaces of homogeneous type",

abstract = "A classical theorem of Jones and Journ{\'e} on weak-star convergence in the Hardy space H1 was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).",

keywords = "weak-star convergence, BMO, Hardy spaces, VMO, spaces of homogeneous type, multiparameter",

author = "Lee, {Ming Yi} and Ji Li and Ward, {Lesley A.}",

year = "2016",

doi = "10.4064/sm8574-8-2016",

language = "English",

volume = "235",

pages = "251--267",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Polska Akademia Nauk",

number = "3",

}

TY - JOUR

T1 - On weak-star convergence in product Hardy spaces on spaces of homogeneous type

AU - Lee, Ming Yi

AU - Li, Ji

AU - Ward, Lesley A.

PY - 2016

Y1 - 2016

N2 - A classical theorem of Jones and Journé on weak-star convergence in the Hardy space H1 was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).

AB - A classical theorem of Jones and Journé on weak-star convergence in the Hardy space H1 was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).

KW - weak-star convergence

KW - BMO

KW - Hardy spaces

KW - VMO

KW - spaces of homogeneous type

KW - multiparameter

UR - http://www.scopus.com/inward/record.url?scp=85012013283&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/DP160100153

UR - http://purl.org/au-research/grants/arc/DP120100399

U2 - 10.4064/sm8574-8-2016

DO - 10.4064/sm8574-8-2016

M3 - Article

AN - SCOPUS:85012013283

VL - 235

SP - 251

EP - 267

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

IS - 3

ER -

On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Abstract

Keywords

Access to Document

Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals

Cite this