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- Title
Bilinear decompositions of products of local Hardy and Lipschitz or BMO spaces through wavelets.
- Authors
Cao, Jun; Ky, Luong Dang; Yang, Dachun
- Abstract
Let and be the local Hardy space in the sense of D. Goldberg. In this paper, the authors establish two bilinear decompositions of the product spaces of and their dual spaces. More precisely, the authors prove that and, for any , , where denotes the local BMO space, , for any and , the inhomogeneous Lipschitz space and a variant of the local Orlicz-Hardy space related to the Orlicz function for any which was introduced by Bonami and Feuto. As an application, the authors establish a div-curl lemma at the endpoint case.
- Subjects
WAVELETS (Mathematics); MATHEMATICAL decomposition; HARDY spaces; LIPSCHITZ spaces; ORLICZ spaces; MATHEMATICAL proofs
- Publication
Communications in Contemporary Mathematics, 2018, Vol 20, Issue 3, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199717500250