dc.contributor.author |
Cruz-Uribe, David |
dc.contributor.author |
OFS |
dc.contributor.author |
Moen, Kabe |
dc.contributor.author |
Van Nguyen, Hanh |
dc.date |
2019 |
dc.identifier |
https://ddd.uab.cat/record/206884 |
dc.identifier |
urn:10.5565/PUBLMAT6321908 |
dc.identifier |
urn:oai:ddd.uab.cat:206884 |
dc.identifier |
urn:oai:raco.cat:article/358954 |
dc.identifier |
urn:articleid:20144350v63n2p679 |
dc.identifier |
urn:wos_id:000473264300008 |
dc.identifier |
urn:scopus_id:85071222726 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
; |
dc.relation |
Publicacions matemàtiques ; Vol. 63 Núm. 2 (2019), p. 679-713 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Muckenhoupt weights |
dc.subject |
Weighted hardy spaces |
dc.subject |
Variable hardy spaces |
dc.subject |
Multilinear calderón-zygmund operators |
dc.subject |
Singular integrals |
dc.title |
The boundedness of multilinear Calderón-Zygmund operators on weighted and variable Hardy spaces |
dc.type |
Article |
dc.description.abstract |
The first author is supported by NSF Grant DMS-1362425 and research funds from the Dean of the College of Arts & Sciences, the University of Alabama. The second author is supported by the Simons Foundation. |
dc.description.abstract |
We establish the boundedness of the multilinear Calderon{Zygmund operators from a product of weighted Hardy spaces into a weighted Hardy or Lebesgue space. Our results generalize to the weighted setting results obtained by Grafakos and Kalton [18] and recent work by the third author, Grafakos, Nakamura, and Sawano [20]. As part of our proof we provide a finite atomic decomposition theorem for weighted Hardy spaces, which is interesting in its own right. As a consequence of our weighted results, we prove the corresponding estimates on variable Hardy spaces. Our main tool is a multilinear extrapolation theorem that generalizes a result of the first author and Naibo [10]. |