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AREA INTEGRALS FOR RIESZ MEASURES ON THE SIEGEL UPPER HALF SPACE OF TYPE II
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- ARAI HITOSHI
- MATHEMATICAL INSTITUTE FACULTY OF SCIENCE TOHOKU UNIVERSITY
Bibliographic Information
- Other Title
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- Area integrals for Riesz measures on the Siegel upper half space of type ${\rm II}$
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Description
The area integrals of harmonic functions on the Siegel upper half space of type II are important tools for studying Hardy spaces and boundary behavior of harmonic functions. In this paper we will extend the area integrals to subharmonic functions on the Siegel upper half space of type II, and prove their Lp-estimates by the admissible maximal functions for all 0<p<∞. The extended area integrals are analogues of the area integrals which were introduced by T. McConell in the case of the Euclidean upper half space.
Journal
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 44 (4), 613-622, 1992
Mathematical Institute, Tohoku University
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Keywords
Details 詳細情報について
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- CRID
- 1390282680092100480
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- NII Article ID
- 110000026645
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- NII Book ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 1190916
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- Text Lang
- en
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- Data Source
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- JaLC
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- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed