visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Weighted Hardy spaces associated with elliptic operators. Part II : |
Data: | 2018 |
Resum: | Given a Muckenhoupt weight w and a second order divergence form elliptic operator L, we consider different versions of the weighted Hardy space H1 L (w)defined by conical square functions and non-tangential maximal functions associated with the heat and Poisson semigroups generated by L. We show that all of them are isomorphic and also that H1 L (w) admits a molecular characterization. One of the advantages of our methods is that our assumptions extend naturally the unweighted theory developed by S. Hofmann and S. Mayboroda in [19] and we can immediately recover the unweighted case. Some of our tools consist in establishing weighted norm inequalities for the non-tangential maximal functions, as well as comparing them with some conical square functions in weighted Lebesgue spaces. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Hardy spaces ; Second order divergence form elliptic operators ; Heat and poisson semigroups ; Conical square functions ; Non-tangential maximal functions ; Molecular decomposition ; Muckenhoupt weights ; Off-diagonal estimates |
Publicat a: | Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 475-535 (Articles) , ISSN 2014-4350 |
61 p, 718.5 KB |