Notes on Hlog : structural properties, dyadic variants, and bilinear H1-BMO mappings
(2022) In Arkiv for Matematik 60(2). p.231-275- Abstract
This article is devoted to a study of the Hardy space Hlog(Rd) introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy space H1 and a function in BMO to distributions that belong to Hlog based on dyadic paraproducts. We also point out analogues of classical results of Hardy-Littlewood, Zygmund, and Stein for Hlog and related Musielak-Orlicz spaces.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/93e1cb2d-d9f7-4da0-b875-86376d9e17dc
- author
- Bakas, Odysseas LU ; Pott, Sandra LU ; Rodríguez-López, Salvador and Sola, Alan
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- and phrases: maximal function, Haar wavelets, Orlicz spaces, real Hardy spaces
- in
- Arkiv for Matematik
- volume
- 60
- issue
- 2
- pages
- 45 pages
- publisher
- Springer
- external identifiers
-
- scopus:85140486630
- ISSN
- 0004-2080
- DOI
- 10.4310/ARKIV.2022.v60.n2.a2
- language
- English
- LU publication?
- yes
- id
- 93e1cb2d-d9f7-4da0-b875-86376d9e17dc
- date added to LUP
- 2022-12-19 14:35:11
- date last changed
- 2022-12-19 14:35:11
@article{93e1cb2d-d9f7-4da0-b875-86376d9e17dc, abstract = {{<p>This article is devoted to a study of the Hardy space H<sup>log</sup>(R<sup>d</sup>) introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy space H<sup>1</sup> and a function in BMO to distributions that belong to H<sup>log</sup> based on dyadic paraproducts. We also point out analogues of classical results of Hardy-Littlewood, Zygmund, and Stein for H<sup>log</sup> and related Musielak-Orlicz spaces.</p>}}, author = {{Bakas, Odysseas and Pott, Sandra and Rodríguez-López, Salvador and Sola, Alan}}, issn = {{0004-2080}}, keywords = {{and phrases: maximal function; Haar wavelets; Orlicz spaces; real Hardy spaces}}, language = {{eng}}, number = {{2}}, pages = {{231--275}}, publisher = {{Springer}}, series = {{Arkiv for Matematik}}, title = {{Notes on H<sup>log</sup> : structural properties, dyadic variants, and bilinear H<sup>1</sup>-BMO mappings}}, url = {{http://dx.doi.org/10.4310/ARKIV.2022.v60.n2.a2}}, doi = {{10.4310/ARKIV.2022.v60.n2.a2}}, volume = {{60}}, year = {{2022}}, }