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

Macquarie University ResearchOnline

Home

List Of Titles

Add to Quick Collection

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/1234108

554 Visitors

569 Hits

0 Downloads

Title: On weak-star convergence in product Hardy spaces on spaces of homogeneous type
Related: Studia mathematica, Vol. 235, No. 3, (2016), p.251-267
Funding Body: ARC
Grant URL: http://purl.org/au-research/grants/arc/DP160100153
Grant URL: http://purl.org/au-research/grants/arc/DP120100399
DOI: 10.4064/sm8574-8-2016
Publisher: Polska Akademia Nauk, Instytut Matematyczny
Date: 2016
Author/Creator: Lee, Ming-Yi
Author/Creator: Li, Ji
Author/Creator: Ward, Lesley A
Description: 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).
Description: 17 page(s)
Subject Keyword: weak-star convergence
Subject Keyword: BMO
Subject Keyword: Hardy spaces
Subject Keyword: VMO
Subject Keyword: spaces of homogeneous type
Subject Keyword: multiparameter
Resource Type: journal article
Organisation: Macquarie University. Department of Mathematics

ABN 90 952 801 237 | CRICOS Provider No 00002J