Carleson Measure and Tent Spaces on the Siegel Upper Half Space | Zendy

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Carleson Measure and Tent Spaces on the Siegel Upper Half Space

Author(s) -

Kai Zhao

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/583156

Subject(s) - mathematics , hausdorff space , hausdorff measure , measure (data warehouse) , pure mathematics , space (punctuation) , dual (grammatical number) , heisenberg group , outer measure , mathematical analysis , hausdorff dimension , fractal , minkowski–bouligand dimension , linguistics , philosophy , fractal dimension , literature , database , computer science , art

The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed. Some characterized results and the dual of the fractional Carleson measures on the Siegel upper half space are studied. Therefore, the tent spaces on the Siegel upper half space in terms of the Choquet integrals are introduced and investigated. The atomic decomposition and the dual spaces of the tent spaces are obtained at the last

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