Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415251 | Journal of Functional Analysis | 2013 | 31 Pages |
Abstract
This article concerns nonconvolutional type operators (also known as Journéʼs type operators) associated with a multiparameter family of dilations given by (x1,x2,â¦,xm)â(δ1x1,δ2x2,â¦,δmxm) where x1âRn1,x2âRn2,â¦,xmâRnm and m⩾3. We are especially interested in the boundedness of such operators on the multiparameter Hardy spaces. This work is motivated by Pipherʼs result on the boundedness of these operators from the multiparameter Hp spaces to Lp spaces for 0
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yongsheng Han, Guozhen Lu, Zhuoping Ruan,