Area integrals for Riesz measures on the Siegel upper half space of type ${\rm II}$
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- ARAI HITOSHI
- MATHEMATICAL INSTITUTE FACULTY OF SCIENCE TOHOKU UNIVERSITY
書誌事項
- タイトル別名
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- AREA INTEGRALS FOR RIESZ MEASURES ON THE SIEGEL UPPER HALF SPACE OF TYPE II
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説明
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.
収録刊行物
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- Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ
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Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ 44 (4), 613-622, 1992
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390282680092100480
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- NII論文ID
- 110000026645
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- NII書誌ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 1190916
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- 本文言語コード
- en
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